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Finding the Fourth Proportional to 1,431.90, 2,143.06 and 962.76

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Solution

The fourth proportional to 1,431.90, 2,143.06 and 962.76 is: 1,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.90 : 2,143.06 = 962.76 : x
  2. Step 2: Convert to fraction form
    1,431.90/2,143.06 = 962.76/x
  3. Step 3: Cross multiply
    1,431.90x = 2,143.06 × 962.76
  4. Step 4: Simplify right side
    1,431.90x = 2,063,252.45
  5. Step 5: Solve for x
    x = 2,063,252.45/1,431.90
  6. Step 6: Final answer
    x = 1,440.92

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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.