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Finding the Fourth Proportional to 1,590.15, 2,194.55 and 926.99

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Solution

The fourth proportional to 1,590.15, 2,194.55 and 926.99 is: 1,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.15 : 2,194.55 = 926.99 : x
  2. Step 2: Convert to fraction form
    1,590.15/2,194.55 = 926.99/x
  3. Step 3: Cross multiply
    1,590.15x = 2,194.55 × 926.99
  4. Step 4: Simplify right side
    1,590.15x = 2,034,322.00
  5. Step 5: Solve for x
    x = 2,034,322.00/1,590.15
  6. Step 6: Final answer
    x = 1,279.32

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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.