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Finding the Fourth Proportional to 2,588.60, 3,569.46 and 1,539.92

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Solution

The fourth proportional to 2,588.60, 3,569.46 and 1,539.92 is: 2,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.60 : 3,569.46 = 1,539.92 : x
  2. Step 2: Convert to fraction form
    2,588.60/3,569.46 = 1,539.92/x
  3. Step 3: Cross multiply
    2,588.60x = 3,569.46 × 1,539.92
  4. Step 4: Simplify right side
    2,588.60x = 5,496,682.84
  5. Step 5: Solve for x
    x = 5,496,682.84/2,588.60
  6. Step 6: Final answer
    x = 2,123.42

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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.