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Finding the Fourth Proportional to 2,714.10, 4,071.15 and 1,401.90

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Solution

The fourth proportional to 2,714.10, 4,071.15 and 1,401.90 is: 2,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.10 : 4,071.15 = 1,401.90 : x
  2. Step 2: Convert to fraction form
    2,714.10/4,071.15 = 1,401.90/x
  3. Step 3: Cross multiply
    2,714.10x = 4,071.15 × 1,401.90
  4. Step 4: Simplify right side
    2,714.10x = 5,707,345.19
  5. Step 5: Solve for x
    x = 5,707,345.19/2,714.10
  6. Step 6: Final answer
    x = 2,102.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.