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Finding the Fourth Proportional to 1,228.34, 1,839.54 and 740.18

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Solution

The fourth proportional to 1,228.34, 1,839.54 and 740.18 is: 1,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.34 : 1,839.54 = 740.18 : x
  2. Step 2: Convert to fraction form
    1,228.34/1,839.54 = 740.18/x
  3. Step 3: Cross multiply
    1,228.34x = 1,839.54 × 740.18
  4. Step 4: Simplify right side
    1,228.34x = 1,361,590.72
  5. Step 5: Solve for x
    x = 1,361,590.72/1,228.34
  6. Step 6: Final answer
    x = 1,108.48

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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.