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Finding the Fourth Proportional to 2,714.28, 3,743.04 and 1,652.19

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Solution

The fourth proportional to 2,714.28, 3,743.04 and 1,652.19 is: 2,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.28 : 3,743.04 = 1,652.19 : x
  2. Step 2: Convert to fraction form
    2,714.28/3,743.04 = 1,652.19/x
  3. Step 3: Cross multiply
    2,714.28x = 3,743.04 × 1,652.19
  4. Step 4: Simplify right side
    2,714.28x = 6,184,213.26
  5. Step 5: Solve for x
    x = 6,184,213.26/2,714.28
  6. Step 6: Final answer
    x = 2,278.40

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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.