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Finding the Fourth Proportional to 2,402.80, 3,605.32 and 1,016.46

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Solution

The fourth proportional to 2,402.80, 3,605.32 and 1,016.46 is: 1,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.80 : 3,605.32 = 1,016.46 : x
  2. Step 2: Convert to fraction form
    2,402.80/3,605.32 = 1,016.46/x
  3. Step 3: Cross multiply
    2,402.80x = 3,605.32 × 1,016.46
  4. Step 4: Simplify right side
    2,402.80x = 3,664,663.57
  5. Step 5: Solve for x
    x = 3,664,663.57/2,402.80
  6. Step 6: Final answer
    x = 1,525.16

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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.