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Finding the Fourth Proportional to 1,271.17, 1,907.41 and 962.92

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Solution

The fourth proportional to 1,271.17, 1,907.41 and 962.92 is: 1,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.17 : 1,907.41 = 962.92 : x
  2. Step 2: Convert to fraction form
    1,271.17/1,907.41 = 962.92/x
  3. Step 3: Cross multiply
    1,271.17x = 1,907.41 × 962.92
  4. Step 4: Simplify right side
    1,271.17x = 1,836,683.24
  5. Step 5: Solve for x
    x = 1,836,683.24/1,271.17
  6. Step 6: Final answer
    x = 1,444.88

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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.