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Finding the Fourth Proportional to 2,264.48, 3,124.80 and 1,256.12

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Solution

The fourth proportional to 2,264.48, 3,124.80 and 1,256.12 is: 1,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.48 : 3,124.80 = 1,256.12 : x
  2. Step 2: Convert to fraction form
    2,264.48/3,124.80 = 1,256.12/x
  3. Step 3: Cross multiply
    2,264.48x = 3,124.80 × 1,256.12
  4. Step 4: Simplify right side
    2,264.48x = 3,925,123.78
  5. Step 5: Solve for x
    x = 3,925,123.78/2,264.48
  6. Step 6: Final answer
    x = 1,733.34

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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.