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Finding the Fourth Proportional to 2,746.34, 4,115.46 and 2,520.08

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Solution

The fourth proportional to 2,746.34, 4,115.46 and 2,520.08 is: 3,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.34 : 4,115.46 = 2,520.08 : x
  2. Step 2: Convert to fraction form
    2,746.34/4,115.46 = 2,520.08/x
  3. Step 3: Cross multiply
    2,746.34x = 4,115.46 × 2,520.08
  4. Step 4: Simplify right side
    2,746.34x = 10,371,288.44
  5. Step 5: Solve for x
    x = 10,371,288.44/2,746.34
  6. Step 6: Final answer
    x = 3,776.40

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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.