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Finding the Fourth Proportional to 2,809.68, 3,871.08 and 2,547.60

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Solution

The fourth proportional to 2,809.68, 3,871.08 and 2,547.60 is: 3,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.68 : 3,871.08 = 2,547.60 : x
  2. Step 2: Convert to fraction form
    2,809.68/3,871.08 = 2,547.60/x
  3. Step 3: Cross multiply
    2,809.68x = 3,871.08 × 2,547.60
  4. Step 4: Simplify right side
    2,809.68x = 9,861,963.41
  5. Step 5: Solve for x
    x = 9,861,963.41/2,809.68
  6. Step 6: Final answer
    x = 3,510.00

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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.