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Finding the Fourth Proportional to 2,559.82, 3,532.49 and 1,425.48

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Solution

The fourth proportional to 2,559.82, 3,532.49 and 1,425.48 is: 1,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.82 : 3,532.49 = 1,425.48 : x
  2. Step 2: Convert to fraction form
    2,559.82/3,532.49 = 1,425.48/x
  3. Step 3: Cross multiply
    2,559.82x = 3,532.49 × 1,425.48
  4. Step 4: Simplify right side
    2,559.82x = 5,035,506.71
  5. Step 5: Solve for x
    x = 5,035,506.71/2,559.82
  6. Step 6: Final answer
    x = 1,967.13

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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.