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Finding the Fourth Proportional to 2,417.02, 3,624.99 and 1,031.11

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Solution

The fourth proportional to 2,417.02, 3,624.99 and 1,031.11 is: 1,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.02 : 3,624.99 = 1,031.11 : x
  2. Step 2: Convert to fraction form
    2,417.02/3,624.99 = 1,031.11/x
  3. Step 3: Cross multiply
    2,417.02x = 3,624.99 × 1,031.11
  4. Step 4: Simplify right side
    2,417.02x = 3,737,763.44
  5. Step 5: Solve for x
    x = 3,737,763.44/2,417.02
  6. Step 6: Final answer
    x = 1,546.43

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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.