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Finding the Fourth Proportional to 2,725.71, 3,762.18 and 2,282.91

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Solution

The fourth proportional to 2,725.71, 3,762.18 and 2,282.91 is: 3,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.71 : 3,762.18 = 2,282.91 : x
  2. Step 2: Convert to fraction form
    2,725.71/3,762.18 = 2,282.91/x
  3. Step 3: Cross multiply
    2,725.71x = 3,762.18 × 2,282.91
  4. Step 4: Simplify right side
    2,725.71x = 8,588,718.34
  5. Step 5: Solve for x
    x = 8,588,718.34/2,725.71
  6. Step 6: Final answer
    x = 3,151.00

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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.