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Finding the Fourth Proportional to 2,417.27, 3,624.93 and 1,031.22

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Solution

The fourth proportional to 2,417.27, 3,624.93 and 1,031.22 is: 1,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.27 : 3,624.93 = 1,031.22 : x
  2. Step 2: Convert to fraction form
    2,417.27/3,624.93 = 1,031.22/x
  3. Step 3: Cross multiply
    2,417.27x = 3,624.93 × 1,031.22
  4. Step 4: Simplify right side
    2,417.27x = 3,738,100.31
  5. Step 5: Solve for x
    x = 3,738,100.31/2,417.27
  6. Step 6: Final answer
    x = 1,546.42

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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.