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Finding the Fourth Proportional to 3,104.98, 4,657.80 and 1,024.38

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Solution

The fourth proportional to 3,104.98, 4,657.80 and 1,024.38 is: 1,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.98 : 4,657.80 = 1,024.38 : x
  2. Step 2: Convert to fraction form
    3,104.98/4,657.80 = 1,024.38/x
  3. Step 3: Cross multiply
    3,104.98x = 4,657.80 × 1,024.38
  4. Step 4: Simplify right side
    3,104.98x = 4,771,357.16
  5. Step 5: Solve for x
    x = 4,771,357.16/3,104.98
  6. Step 6: Final answer
    x = 1,536.68

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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.