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Finding the Fourth Proportional to 3,098.29, 4,646.10 and 1,926.53

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Solution

The fourth proportional to 3,098.29, 4,646.10 and 1,926.53 is: 2,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.29 : 4,646.10 = 1,926.53 : x
  2. Step 2: Convert to fraction form
    3,098.29/4,646.10 = 1,926.53/x
  3. Step 3: Cross multiply
    3,098.29x = 4,646.10 × 1,926.53
  4. Step 4: Simplify right side
    3,098.29x = 8,950,851.03
  5. Step 5: Solve for x
    x = 8,950,851.03/3,098.29
  6. Step 6: Final answer
    x = 2,888.96

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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.