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Finding the Fourth Proportional to 1,863.12, 2,565.36 and 1,547.76

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Solution

The fourth proportional to 1,863.12, 2,565.36 and 1,547.76 is: 2,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.12 : 2,565.36 = 1,547.76 : x
  2. Step 2: Convert to fraction form
    1,863.12/2,565.36 = 1,547.76/x
  3. Step 3: Cross multiply
    1,863.12x = 2,565.36 × 1,547.76
  4. Step 4: Simplify right side
    1,863.12x = 3,970,561.59
  5. Step 5: Solve for x
    x = 3,970,561.59/1,863.12
  6. Step 6: Final answer
    x = 2,131.14

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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.