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Finding the Fourth Proportional to 1,555.68, 2,146.89 and 892.67

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Solution

The fourth proportional to 1,555.68, 2,146.89 and 892.67 is: 1,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.68 : 2,146.89 = 892.67 : x
  2. Step 2: Convert to fraction form
    1,555.68/2,146.89 = 892.67/x
  3. Step 3: Cross multiply
    1,555.68x = 2,146.89 × 892.67
  4. Step 4: Simplify right side
    1,555.68x = 1,916,456.91
  5. Step 5: Solve for x
    x = 1,916,456.91/1,555.68
  6. Step 6: Final answer
    x = 1,231.91

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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.