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Finding the Fourth Proportional to 2,501.68, 3,752.51 and 1,527.55

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Solution

The fourth proportional to 2,501.68, 3,752.51 and 1,527.55 is: 2,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.68 : 3,752.51 = 1,527.55 : x
  2. Step 2: Convert to fraction form
    2,501.68/3,752.51 = 1,527.55/x
  3. Step 3: Cross multiply
    2,501.68x = 3,752.51 × 1,527.55
  4. Step 4: Simplify right side
    2,501.68x = 5,732,141.09
  5. Step 5: Solve for x
    x = 5,732,141.09/2,501.68
  6. Step 6: Final answer
    x = 2,291.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.