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Finding the Fourth Proportional to 4,098.66, 6,148.03 and 1,177.06

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Solution

The fourth proportional to 4,098.66, 6,148.03 and 1,177.06 is: 1,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.66 : 6,148.03 = 1,177.06 : x
  2. Step 2: Convert to fraction form
    4,098.66/6,148.03 = 1,177.06/x
  3. Step 3: Cross multiply
    4,098.66x = 6,148.03 × 1,177.06
  4. Step 4: Simplify right side
    4,098.66x = 7,236,600.19
  5. Step 5: Solve for x
    x = 7,236,600.19/4,098.66
  6. Step 6: Final answer
    x = 1,765.60

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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.