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Finding the Fourth Proportional to 1,714.28, 2,366.10 and 1,124.48

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Solution

The fourth proportional to 1,714.28, 2,366.10 and 1,124.48 is: 1,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.28 : 2,366.10 = 1,124.48 : x
  2. Step 2: Convert to fraction form
    1,714.28/2,366.10 = 1,124.48/x
  3. Step 3: Cross multiply
    1,714.28x = 2,366.10 × 1,124.48
  4. Step 4: Simplify right side
    1,714.28x = 2,660,632.13
  5. Step 5: Solve for x
    x = 2,660,632.13/1,714.28
  6. Step 6: Final answer
    x = 1,552.04

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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.