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Finding the Fourth Proportional to 2,703.66, 4,052.25 and 1,242.42

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Solution

The fourth proportional to 2,703.66, 4,052.25 and 1,242.42 is: 1,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.66 : 4,052.25 = 1,242.42 : x
  2. Step 2: Convert to fraction form
    2,703.66/4,052.25 = 1,242.42/x
  3. Step 3: Cross multiply
    2,703.66x = 4,052.25 × 1,242.42
  4. Step 4: Simplify right side
    2,703.66x = 5,034,596.45
  5. Step 5: Solve for x
    x = 5,034,596.45/2,703.66
  6. Step 6: Final answer
    x = 1,862.14

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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.