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Finding the Fourth Proportional to 2,660.64, 3,992.76 and 929.28

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Solution

The fourth proportional to 2,660.64, 3,992.76 and 929.28 is: 1,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.64 : 3,992.76 = 929.28 : x
  2. Step 2: Convert to fraction form
    2,660.64/3,992.76 = 929.28/x
  3. Step 3: Cross multiply
    2,660.64x = 3,992.76 × 929.28
  4. Step 4: Simplify right side
    2,660.64x = 3,710,392.01
  5. Step 5: Solve for x
    x = 3,710,392.01/2,660.64
  6. Step 6: Final answer
    x = 1,394.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.