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Finding the Fourth Proportional to 2,431.70, 3,646.20 and 1,044.80

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Solution

The fourth proportional to 2,431.70, 3,646.20 and 1,044.80 is: 1,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.70 : 3,646.20 = 1,044.80 : x
  2. Step 2: Convert to fraction form
    2,431.70/3,646.20 = 1,044.80/x
  3. Step 3: Cross multiply
    2,431.70x = 3,646.20 × 1,044.80
  4. Step 4: Simplify right side
    2,431.70x = 3,809,549.76
  5. Step 5: Solve for x
    x = 3,809,549.76/2,431.70
  6. Step 6: Final answer
    x = 1,566.62

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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.