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Finding the Fourth Proportional to 4,298.54, 6,447.80 and 1,178.55

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Solution

The fourth proportional to 4,298.54, 6,447.80 and 1,178.55 is: 1,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.54 : 6,447.80 = 1,178.55 : x
  2. Step 2: Convert to fraction form
    4,298.54/6,447.80 = 1,178.55/x
  3. Step 3: Cross multiply
    4,298.54x = 6,447.80 × 1,178.55
  4. Step 4: Simplify right side
    4,298.54x = 7,599,048.80
  5. Step 5: Solve for x
    x = 7,599,048.80/4,298.54
  6. Step 6: Final answer
    x = 1,767.82

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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.