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Finding the Fourth Proportional to 2,547.74, 3,515.56 and 1,428.53

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Solution

The fourth proportional to 2,547.74, 3,515.56 and 1,428.53 is: 1,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.74 : 3,515.56 = 1,428.53 : x
  2. Step 2: Convert to fraction form
    2,547.74/3,515.56 = 1,428.53/x
  3. Step 3: Cross multiply
    2,547.74x = 3,515.56 × 1,428.53
  4. Step 4: Simplify right side
    2,547.74x = 5,022,061.78
  5. Step 5: Solve for x
    x = 5,022,061.78/2,547.74
  6. Step 6: Final answer
    x = 1,971.18

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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.