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Finding the Fourth Proportional to 1,271.84, 1,752.84 and 921.92

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Solution

The fourth proportional to 1,271.84, 1,752.84 and 921.92 is: 1,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.84 : 1,752.84 = 921.92 : x
  2. Step 2: Convert to fraction form
    1,271.84/1,752.84 = 921.92/x
  3. Step 3: Cross multiply
    1,271.84x = 1,752.84 × 921.92
  4. Step 4: Simplify right side
    1,271.84x = 1,615,978.25
  5. Step 5: Solve for x
    x = 1,615,978.25/1,271.84
  6. Step 6: Final answer
    x = 1,270.58

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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.