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Finding the Fourth Proportional to 1,708.49, 2,559.60 and 1,524.02

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Solution

The fourth proportional to 1,708.49, 2,559.60 and 1,524.02 is: 2,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.49 : 2,559.60 = 1,524.02 : x
  2. Step 2: Convert to fraction form
    1,708.49/2,559.60 = 1,524.02/x
  3. Step 3: Cross multiply
    1,708.49x = 2,559.60 × 1,524.02
  4. Step 4: Simplify right side
    1,708.49x = 3,900,868.79
  5. Step 5: Solve for x
    x = 3,900,868.79/1,708.49
  6. Step 6: Final answer
    x = 2,283.22

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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.