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Finding the Fourth Proportional to 2,155.80, 2,974.14 and 1,565.04

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Solution

The fourth proportional to 2,155.80, 2,974.14 and 1,565.04 is: 2,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.80 : 2,974.14 = 1,565.04 : x
  2. Step 2: Convert to fraction form
    2,155.80/2,974.14 = 1,565.04/x
  3. Step 3: Cross multiply
    2,155.80x = 2,974.14 × 1,565.04
  4. Step 4: Simplify right side
    2,155.80x = 4,654,648.07
  5. Step 5: Solve for x
    x = 4,654,648.07/2,155.80
  6. Step 6: Final answer
    x = 2,159.13

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