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Finding the Fourth Proportional to 2,304.10, 3,454.93 and 916.30

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Solution

The fourth proportional to 2,304.10, 3,454.93 and 916.30 is: 1,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.10 : 3,454.93 = 916.30 : x
  2. Step 2: Convert to fraction form
    2,304.10/3,454.93 = 916.30/x
  3. Step 3: Cross multiply
    2,304.10x = 3,454.93 × 916.30
  4. Step 4: Simplify right side
    2,304.10x = 3,165,752.36
  5. Step 5: Solve for x
    x = 3,165,752.36/2,304.10
  6. Step 6: Final answer
    x = 1,373.96

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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.