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Finding the Fourth Proportional to 1,690.80, 2,530.90 and 1,228.47

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Solution

The fourth proportional to 1,690.80, 2,530.90 and 1,228.47 is: 1,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.80 : 2,530.90 = 1,228.47 : x
  2. Step 2: Convert to fraction form
    1,690.80/2,530.90 = 1,228.47/x
  3. Step 3: Cross multiply
    1,690.80x = 2,530.90 × 1,228.47
  4. Step 4: Simplify right side
    1,690.80x = 3,109,134.72
  5. Step 5: Solve for x
    x = 3,109,134.72/1,690.80
  6. Step 6: Final answer
    x = 1,838.85

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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.