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Finding the Fourth Proportional to 2,476.08, 3,714.48 and 916.02

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Solution

The fourth proportional to 2,476.08, 3,714.48 and 916.02 is: 1,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.08 : 3,714.48 = 916.02 : x
  2. Step 2: Convert to fraction form
    2,476.08/3,714.48 = 916.02/x
  3. Step 3: Cross multiply
    2,476.08x = 3,714.48 × 916.02
  4. Step 4: Simplify right side
    2,476.08x = 3,402,537.97
  5. Step 5: Solve for x
    x = 3,402,537.97/2,476.08
  6. Step 6: Final answer
    x = 1,374.16

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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.