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Finding the Fourth Proportional to 2,714.38, 3,746.03 and 1,535.45

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Solution

The fourth proportional to 2,714.38, 3,746.03 and 1,535.45 is: 2,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.38 : 3,746.03 = 1,535.45 : x
  2. Step 2: Convert to fraction form
    2,714.38/3,746.03 = 1,535.45/x
  3. Step 3: Cross multiply
    2,714.38x = 3,746.03 × 1,535.45
  4. Step 4: Simplify right side
    2,714.38x = 5,751,841.76
  5. Step 5: Solve for x
    x = 5,751,841.76/2,714.38
  6. Step 6: Final answer
    x = 2,119.03

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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.