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Finding the Fourth Proportional to 1,848.78, 2,753.28 and 1,737

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Solution

The fourth proportional to 1,848.78, 2,753.28 and 1,737 is: 2,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.78 : 2,753.28 = 1,737 : x
  2. Step 2: Convert to fraction form
    1,848.78/2,753.28 = 1,737/x
  3. Step 3: Cross multiply
    1,848.78x = 2,753.28 × 1,737
  4. Step 4: Simplify right side
    1,848.78x = 4,782,447.36
  5. Step 5: Solve for x
    x = 4,782,447.36/1,848.78
  6. Step 6: Final answer
    x = 2,586.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.