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Finding the Fourth Proportional to 1,418.46, 2,127.90 and 494.12

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Solution

The fourth proportional to 1,418.46, 2,127.90 and 494.12 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.46 : 2,127.90 = 494.12 : x
  2. Step 2: Convert to fraction form
    1,418.46/2,127.90 = 494.12/x
  3. Step 3: Cross multiply
    1,418.46x = 2,127.90 × 494.12
  4. Step 4: Simplify right side
    1,418.46x = 1,051,437.95
  5. Step 5: Solve for x
    x = 1,051,437.95/1,418.46
  6. Step 6: Final answer
    x = 741.25

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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.