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Finding the Fourth Proportional to 2,340.28, 3,510.54 and 879.64

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Solution

The fourth proportional to 2,340.28, 3,510.54 and 879.64 is: 1,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.28 : 3,510.54 = 879.64 : x
  2. Step 2: Convert to fraction form
    2,340.28/3,510.54 = 879.64/x
  3. Step 3: Cross multiply
    2,340.28x = 3,510.54 × 879.64
  4. Step 4: Simplify right side
    2,340.28x = 3,088,011.41
  5. Step 5: Solve for x
    x = 3,088,011.41/2,340.28
  6. Step 6: Final answer
    x = 1,319.51

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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.