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Finding the Fourth Proportional to 1,298.47, 1,934.58 and 1,236.55

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Solution

The fourth proportional to 1,298.47, 1,934.58 and 1,236.55 is: 1,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.47 : 1,934.58 = 1,236.55 : x
  2. Step 2: Convert to fraction form
    1,298.47/1,934.58 = 1,236.55/x
  3. Step 3: Cross multiply
    1,298.47x = 1,934.58 × 1,236.55
  4. Step 4: Simplify right side
    1,298.47x = 2,392,204.90
  5. Step 5: Solve for x
    x = 2,392,204.90/1,298.47
  6. Step 6: Final answer
    x = 1,842.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.