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Finding the Fourth Proportional to 2,232.60, 3,080.00 and 1,569.89

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Solution

The fourth proportional to 2,232.60, 3,080.00 and 1,569.89 is: 2,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.60 : 3,080.00 = 1,569.89 : x
  2. Step 2: Convert to fraction form
    2,232.60/3,080.00 = 1,569.89/x
  3. Step 3: Cross multiply
    2,232.60x = 3,080.00 × 1,569.89
  4. Step 4: Simplify right side
    2,232.60x = 4,835,237.95
  5. Step 5: Solve for x
    x = 4,835,237.95/2,232.60
  6. Step 6: Final answer
    x = 2,165.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.