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Finding the Fourth Proportional to 2,142.80, 3,210.53 and 1,169.58

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Solution

The fourth proportional to 2,142.80, 3,210.53 and 1,169.58 is: 1,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 3,210.53 = 1,169.58 : x
  2. Step 2: Convert to fraction form
    2,142.80/3,210.53 = 1,169.58/x
  3. Step 3: Cross multiply
    2,142.80x = 3,210.53 × 1,169.58
  4. Step 4: Simplify right side
    2,142.80x = 3,754,965.83
  5. Step 5: Solve for x
    x = 3,754,965.83/2,142.80
  6. Step 6: Final answer
    x = 1,752.37

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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.