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Finding the Fourth Proportional to 3,670.65, 5,498.16 and 1,697.90

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Solution

The fourth proportional to 3,670.65, 5,498.16 and 1,697.90 is: 2,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.65 : 5,498.16 = 1,697.90 : x
  2. Step 2: Convert to fraction form
    3,670.65/5,498.16 = 1,697.90/x
  3. Step 3: Cross multiply
    3,670.65x = 5,498.16 × 1,697.90
  4. Step 4: Simplify right side
    3,670.65x = 9,335,325.86
  5. Step 5: Solve for x
    x = 9,335,325.86/3,670.65
  6. Step 6: Final answer
    x = 2,543.24

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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.