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Finding the Fourth Proportional to 1,739.78, 2,397.52 and 1,214.90

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Solution

The fourth proportional to 1,739.78, 2,397.52 and 1,214.90 is: 1,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.78 : 2,397.52 = 1,214.90 : x
  2. Step 2: Convert to fraction form
    1,739.78/2,397.52 = 1,214.90/x
  3. Step 3: Cross multiply
    1,739.78x = 2,397.52 × 1,214.90
  4. Step 4: Simplify right side
    1,739.78x = 2,912,747.05
  5. Step 5: Solve for x
    x = 2,912,747.05/1,739.78
  6. Step 6: Final answer
    x = 1,674.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.