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Finding the Fourth Proportional to 1,695.86, 2,543.63 and 600.17

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Solution

The fourth proportional to 1,695.86, 2,543.63 and 600.17 is: 900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.86 : 2,543.63 = 600.17 : x
  2. Step 2: Convert to fraction form
    1,695.86/2,543.63 = 600.17/x
  3. Step 3: Cross multiply
    1,695.86x = 2,543.63 × 600.17
  4. Step 4: Simplify right side
    1,695.86x = 1,526,610.42
  5. Step 5: Solve for x
    x = 1,526,610.42/1,695.86
  6. Step 6: Final answer
    x = 900.20

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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.