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Finding the Fourth Proportional to 1,501.71, 2,252.03 and 577.55

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Solution

The fourth proportional to 1,501.71, 2,252.03 and 577.55 is: 866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.71 : 2,252.03 = 577.55 : x
  2. Step 2: Convert to fraction form
    1,501.71/2,252.03 = 577.55/x
  3. Step 3: Cross multiply
    1,501.71x = 2,252.03 × 577.55
  4. Step 4: Simplify right side
    1,501.71x = 1,300,659.93
  5. Step 5: Solve for x
    x = 1,300,659.93/1,501.71
  6. Step 6: Final answer
    x = 866.12

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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.