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Finding the Fourth Proportional to 1,616.38, 2,424.51 and 1,001.14

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Solution

The fourth proportional to 1,616.38, 2,424.51 and 1,001.14 is: 1,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.38 : 2,424.51 = 1,001.14 : x
  2. Step 2: Convert to fraction form
    1,616.38/2,424.51 = 1,001.14/x
  3. Step 3: Cross multiply
    1,616.38x = 2,424.51 × 1,001.14
  4. Step 4: Simplify right side
    1,616.38x = 2,427,273.94
  5. Step 5: Solve for x
    x = 2,427,273.94/1,616.38
  6. Step 6: Final answer
    x = 1,501.67

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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.