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Finding the Fourth Proportional to 1,456.35, 2,182.91 and 676.13

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Solution

The fourth proportional to 1,456.35, 2,182.91 and 676.13 is: 1,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.35 : 2,182.91 = 676.13 : x
  2. Step 2: Convert to fraction form
    1,456.35/2,182.91 = 676.13/x
  3. Step 3: Cross multiply
    1,456.35x = 2,182.91 × 676.13
  4. Step 4: Simplify right side
    1,456.35x = 1,475,916.64
  5. Step 5: Solve for x
    x = 1,475,916.64/1,456.35
  6. Step 6: Final answer
    x = 1,013.44

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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.