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Finding the Fourth Proportional to 2,477.90, 3,714.84 and 916.92

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Solution

The fourth proportional to 2,477.90, 3,714.84 and 916.92 is: 1,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.90 : 3,714.84 = 916.92 : x
  2. Step 2: Convert to fraction form
    2,477.90/3,714.84 = 916.92/x
  3. Step 3: Cross multiply
    2,477.90x = 3,714.84 × 916.92
  4. Step 4: Simplify right side
    2,477.90x = 3,406,211.09
  5. Step 5: Solve for x
    x = 3,406,211.09/2,477.90
  6. Step 6: Final answer
    x = 1,374.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.