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Finding the Fourth Proportional to 2,377.23, 3,565.04 and 916.26

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Solution

The fourth proportional to 2,377.23, 3,565.04 and 916.26 is: 1,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.23 : 3,565.04 = 916.26 : x
  2. Step 2: Convert to fraction form
    2,377.23/3,565.04 = 916.26/x
  3. Step 3: Cross multiply
    2,377.23x = 3,565.04 × 916.26
  4. Step 4: Simplify right side
    2,377.23x = 3,266,498.97
  5. Step 5: Solve for x
    x = 3,266,498.97/2,377.23
  6. Step 6: Final answer
    x = 1,374.08

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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.