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Finding the Fourth Proportional to 2,264.63, 3,125.29 and 1,256.32

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Solution

The fourth proportional to 2,264.63, 3,125.29 and 1,256.32 is: 1,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.63 : 3,125.29 = 1,256.32 : x
  2. Step 2: Convert to fraction form
    2,264.63/3,125.29 = 1,256.32/x
  3. Step 3: Cross multiply
    2,264.63x = 3,125.29 × 1,256.32
  4. Step 4: Simplify right side
    2,264.63x = 3,926,348.71
  5. Step 5: Solve for x
    x = 3,926,348.71/2,264.63
  6. Step 6: Final answer
    x = 1,733.77

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1.5x scale

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.