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Finding the Fourth Proportional to 2,714.65, 3,746.07 and 1,755.88

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Solution

The fourth proportional to 2,714.65, 3,746.07 and 1,755.88 is: 2,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.65 : 3,746.07 = 1,755.88 : x
  2. Step 2: Convert to fraction form
    2,714.65/3,746.07 = 1,755.88/x
  3. Step 3: Cross multiply
    2,714.65x = 3,746.07 × 1,755.88
  4. Step 4: Simplify right side
    2,714.65x = 6,577,649.39
  5. Step 5: Solve for x
    x = 6,577,649.39/2,714.65
  6. Step 6: Final answer
    x = 2,423.02

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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.