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Finding the Fourth Proportional to 6,031.67, 9,046.49 and 1,648.35

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Solution

The fourth proportional to 6,031.67, 9,046.49 and 1,648.35 is: 2,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.67 : 9,046.49 = 1,648.35 : x
  2. Step 2: Convert to fraction form
    6,031.67/9,046.49 = 1,648.35/x
  3. Step 3: Cross multiply
    6,031.67x = 9,046.49 × 1,648.35
  4. Step 4: Simplify right side
    6,031.67x = 14,911,773.55
  5. Step 5: Solve for x
    x = 14,911,773.55/6,031.67
  6. Step 6: Final answer
    x = 2,472.25

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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.