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Finding the Fourth Proportional to 1,590.76, 2,195.22 and 918.68

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Solution

The fourth proportional to 1,590.76, 2,195.22 and 918.68 is: 1,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.76 : 2,195.22 = 918.68 : x
  2. Step 2: Convert to fraction form
    1,590.76/2,195.22 = 918.68/x
  3. Step 3: Cross multiply
    1,590.76x = 2,195.22 × 918.68
  4. Step 4: Simplify right side
    1,590.76x = 2,016,704.71
  5. Step 5: Solve for x
    x = 2,016,704.71/1,590.76
  6. Step 6: Final answer
    x = 1,267.76

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.