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Finding the Fourth Proportional to 2,325.46, 3,487.26 and 1,026

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Solution

The fourth proportional to 2,325.46, 3,487.26 and 1,026 is: 1,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.46 : 3,487.26 = 1,026 : x
  2. Step 2: Convert to fraction form
    2,325.46/3,487.26 = 1,026/x
  3. Step 3: Cross multiply
    2,325.46x = 3,487.26 × 1,026
  4. Step 4: Simplify right side
    2,325.46x = 3,577,928.76
  5. Step 5: Solve for x
    x = 3,577,928.76/2,325.46
  6. Step 6: Final answer
    x = 1,538.59

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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.