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Finding the Fourth Proportional to 1,501.52, 2,252.38 and 954.76

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Solution

The fourth proportional to 1,501.52, 2,252.38 and 954.76 is: 1,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.52 : 2,252.38 = 954.76 : x
  2. Step 2: Convert to fraction form
    1,501.52/2,252.38 = 954.76/x
  3. Step 3: Cross multiply
    1,501.52x = 2,252.38 × 954.76
  4. Step 4: Simplify right side
    1,501.52x = 2,150,482.33
  5. Step 5: Solve for x
    x = 2,150,482.33/1,501.52
  6. Step 6: Final answer
    x = 1,432.20

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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.