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Finding the Fourth Proportional to 2,416.65, 3,625.44 and 1,029.96

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Solution

The fourth proportional to 2,416.65, 3,625.44 and 1,029.96 is: 1,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.65 : 3,625.44 = 1,029.96 : x
  2. Step 2: Convert to fraction form
    2,416.65/3,625.44 = 1,029.96/x
  3. Step 3: Cross multiply
    2,416.65x = 3,625.44 × 1,029.96
  4. Step 4: Simplify right side
    2,416.65x = 3,734,058.18
  5. Step 5: Solve for x
    x = 3,734,058.18/2,416.65
  6. Step 6: Final answer
    x = 1,545.14

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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.