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Finding the Fourth Proportional to 2,559.40, 3,532.15 and 1,425.22

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Solution

The fourth proportional to 2,559.40, 3,532.15 and 1,425.22 is: 1,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.40 : 3,532.15 = 1,425.22 : x
  2. Step 2: Convert to fraction form
    2,559.40/3,532.15 = 1,425.22/x
  3. Step 3: Cross multiply
    2,559.40x = 3,532.15 × 1,425.22
  4. Step 4: Simplify right side
    2,559.40x = 5,034,090.82
  5. Step 5: Solve for x
    x = 5,034,090.82/2,559.40
  6. Step 6: Final answer
    x = 1,966.90

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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.