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Finding the Fourth Proportional to 3,148.76, 4,345.38 and 1,822.88

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Solution

The fourth proportional to 3,148.76, 4,345.38 and 1,822.88 is: 2,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.76 : 4,345.38 = 1,822.88 : x
  2. Step 2: Convert to fraction form
    3,148.76/4,345.38 = 1,822.88/x
  3. Step 3: Cross multiply
    3,148.76x = 4,345.38 × 1,822.88
  4. Step 4: Simplify right side
    3,148.76x = 7,921,106.29
  5. Step 5: Solve for x
    x = 7,921,106.29/3,148.76
  6. Step 6: Final answer
    x = 2,515.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.