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Finding the Fourth Proportional to 1,695.20, 2,542.80 and 1,263.20

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Solution

The fourth proportional to 1,695.20, 2,542.80 and 1,263.20 is: 1,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.20 : 2,542.80 = 1,263.20 : x
  2. Step 2: Convert to fraction form
    1,695.20/2,542.80 = 1,263.20/x
  3. Step 3: Cross multiply
    1,695.20x = 2,542.80 × 1,263.20
  4. Step 4: Simplify right side
    1,695.20x = 3,212,064.96
  5. Step 5: Solve for x
    x = 3,212,064.96/1,695.20
  6. Step 6: Final answer
    x = 1,894.80

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