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Finding the Fourth Proportional to 2,479.69, 3,714.73 and 1,697.83

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Solution

The fourth proportional to 2,479.69, 3,714.73 and 1,697.83 is: 2,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.69 : 3,714.73 = 1,697.83 : x
  2. Step 2: Convert to fraction form
    2,479.69/3,714.73 = 1,697.83/x
  3. Step 3: Cross multiply
    2,479.69x = 3,714.73 × 1,697.83
  4. Step 4: Simplify right side
    2,479.69x = 6,306,980.04
  5. Step 5: Solve for x
    x = 6,306,980.04/2,479.69
  6. Step 6: Final answer
    x = 2,543.46

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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.