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Finding the Fourth Proportional to 1,418.09, 2,127.14 and 493.65

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Solution

The fourth proportional to 1,418.09, 2,127.14 and 493.65 is: 740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.09 : 2,127.14 = 493.65 : x
  2. Step 2: Convert to fraction form
    1,418.09/2,127.14 = 493.65/x
  3. Step 3: Cross multiply
    1,418.09x = 2,127.14 × 493.65
  4. Step 4: Simplify right side
    1,418.09x = 1,050,060.19
  5. Step 5: Solve for x
    x = 1,050,060.19/1,418.09
  6. Step 6: Final answer
    x = 740.48

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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.