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Finding the Fourth Proportional to 1,648.08, 2,473.61 and 916.65

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Solution

The fourth proportional to 1,648.08, 2,473.61 and 916.65 is: 1,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.08 : 2,473.61 = 916.65 : x
  2. Step 2: Convert to fraction form
    1,648.08/2,473.61 = 916.65/x
  3. Step 3: Cross multiply
    1,648.08x = 2,473.61 × 916.65
  4. Step 4: Simplify right side
    1,648.08x = 2,267,430.02
  5. Step 5: Solve for x
    x = 2,267,430.02/1,648.08
  6. Step 6: Final answer
    x = 1,375.80

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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.