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Finding the Fourth Proportional to 2,264.58, 3,125.79 and 1,424.88

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Solution

The fourth proportional to 2,264.58, 3,125.79 and 1,424.88 is: 1,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.58 : 3,125.79 = 1,424.88 : x
  2. Step 2: Convert to fraction form
    2,264.58/3,125.79 = 1,424.88/x
  3. Step 3: Cross multiply
    2,264.58x = 3,125.79 × 1,424.88
  4. Step 4: Simplify right side
    2,264.58x = 4,453,875.66
  5. Step 5: Solve for x
    x = 4,453,875.66/2,264.58
  6. Step 6: Final answer
    x = 1,966.76

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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.