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Finding the Fourth Proportional to 3,098.65, 4,647.98 and 1,456.34

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Solution

The fourth proportional to 3,098.65, 4,647.98 and 1,456.34 is: 2,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.65 : 4,647.98 = 1,456.34 : x
  2. Step 2: Convert to fraction form
    3,098.65/4,647.98 = 1,456.34/x
  3. Step 3: Cross multiply
    3,098.65x = 4,647.98 × 1,456.34
  4. Step 4: Simplify right side
    3,098.65x = 6,769,039.19
  5. Step 5: Solve for x
    x = 6,769,039.19/3,098.65
  6. Step 6: Final answer
    x = 2,184.51

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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.