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Finding the Fourth Proportional to 2,559.74, 3,841.25 and 916.25

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Solution

The fourth proportional to 2,559.74, 3,841.25 and 916.25 is: 1,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.74 : 3,841.25 = 916.25 : x
  2. Step 2: Convert to fraction form
    2,559.74/3,841.25 = 916.25/x
  3. Step 3: Cross multiply
    2,559.74x = 3,841.25 × 916.25
  4. Step 4: Simplify right side
    2,559.74x = 3,519,521.53
  5. Step 5: Solve for x
    x = 3,519,521.53/2,559.74
  6. Step 6: Final answer
    x = 1,374.96

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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.