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Finding the Fourth Proportional to 3,098.48, 4,646.54 and 1,018.09

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Solution

The fourth proportional to 3,098.48, 4,646.54 and 1,018.09 is: 1,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.48 : 4,646.54 = 1,018.09 : x
  2. Step 2: Convert to fraction form
    3,098.48/4,646.54 = 1,018.09/x
  3. Step 3: Cross multiply
    3,098.48x = 4,646.54 × 1,018.09
  4. Step 4: Simplify right side
    3,098.48x = 4,730,614.47
  5. Step 5: Solve for x
    x = 4,730,614.47/3,098.48
  6. Step 6: Final answer
    x = 1,526.75

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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.