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Finding the Fourth Proportional to 2,547.60, 3,515.86 and 1,428.50

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Solution

The fourth proportional to 2,547.60, 3,515.86 and 1,428.50 is: 1,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.60 : 3,515.86 = 1,428.50 : x
  2. Step 2: Convert to fraction form
    2,547.60/3,515.86 = 1,428.50/x
  3. Step 3: Cross multiply
    2,547.60x = 3,515.86 × 1,428.50
  4. Step 4: Simplify right side
    2,547.60x = 5,022,406.01
  5. Step 5: Solve for x
    x = 5,022,406.01/2,547.60
  6. Step 6: Final answer
    x = 1,971.43

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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.