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Finding the Fourth Proportional to 3,031.26, 4,546.89 and 840.10

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Solution

The fourth proportional to 3,031.26, 4,546.89 and 840.10 is: 1,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.26 : 4,546.89 = 840.10 : x
  2. Step 2: Convert to fraction form
    3,031.26/4,546.89 = 840.10/x
  3. Step 3: Cross multiply
    3,031.26x = 4,546.89 × 840.10
  4. Step 4: Simplify right side
    3,031.26x = 3,819,842.29
  5. Step 5: Solve for x
    x = 3,819,842.29/3,031.26
  6. Step 6: Final answer
    x = 1,260.15

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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.