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Finding the Fourth Proportional to 2,506.46, 3,761.03 and 1,410.90

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Solution

The fourth proportional to 2,506.46, 3,761.03 and 1,410.90 is: 2,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.46 : 3,761.03 = 1,410.90 : x
  2. Step 2: Convert to fraction form
    2,506.46/3,761.03 = 1,410.90/x
  3. Step 3: Cross multiply
    2,506.46x = 3,761.03 × 1,410.90
  4. Step 4: Simplify right side
    2,506.46x = 5,306,430.17
  5. Step 5: Solve for x
    x = 5,306,430.17/2,506.46
  6. Step 6: Final answer
    x = 2,117.11

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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.