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Finding the Fourth Proportional to 1,548.60, 2,322.08 and 1,061.80

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Solution

The fourth proportional to 1,548.60, 2,322.08 and 1,061.80 is: 1,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.60 : 2,322.08 = 1,061.80 : x
  2. Step 2: Convert to fraction form
    1,548.60/2,322.08 = 1,061.80/x
  3. Step 3: Cross multiply
    1,548.60x = 2,322.08 × 1,061.80
  4. Step 4: Simplify right side
    1,548.60x = 2,465,584.54
  5. Step 5: Solve for x
    x = 2,465,584.54/1,548.60
  6. Step 6: Final answer
    x = 1,592.14

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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.