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Finding the Fourth Proportional to 3,041.56, 4,562.03 and 1,397.66

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Solution

The fourth proportional to 3,041.56, 4,562.03 and 1,397.66 is: 2,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.56 : 4,562.03 = 1,397.66 : x
  2. Step 2: Convert to fraction form
    3,041.56/4,562.03 = 1,397.66/x
  3. Step 3: Cross multiply
    3,041.56x = 4,562.03 × 1,397.66
  4. Step 4: Simplify right side
    3,041.56x = 6,376,181.75
  5. Step 5: Solve for x
    x = 6,376,181.75/3,041.56
  6. Step 6: Final answer
    x = 2,096.35

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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.