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Finding the Fourth Proportional to 3,041.02, 4,560.86 and 849.16

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Solution

The fourth proportional to 3,041.02, 4,560.86 and 849.16 is: 1,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.02 : 4,560.86 = 849.16 : x
  2. Step 2: Convert to fraction form
    3,041.02/4,560.86 = 849.16/x
  3. Step 3: Cross multiply
    3,041.02x = 4,560.86 × 849.16
  4. Step 4: Simplify right side
    3,041.02x = 3,872,899.88
  5. Step 5: Solve for x
    x = 3,872,899.88/3,041.02
  6. Step 6: Final answer
    x = 1,273.55

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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.