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Finding the Fourth Proportional to 3,098.47, 4,648.05 and 1,017.88

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Solution

The fourth proportional to 3,098.47, 4,648.05 and 1,017.88 is: 1,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.47 : 4,648.05 = 1,017.88 : x
  2. Step 2: Convert to fraction form
    3,098.47/4,648.05 = 1,017.88/x
  3. Step 3: Cross multiply
    3,098.47x = 4,648.05 × 1,017.88
  4. Step 4: Simplify right side
    3,098.47x = 4,731,157.13
  5. Step 5: Solve for x
    x = 4,731,157.13/3,098.47
  6. Step 6: Final answer
    x = 1,526.93

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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.