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Finding the Fourth Proportional to 4,688.66, 7,032.80 and 1,178.68

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Solution

The fourth proportional to 4,688.66, 7,032.80 and 1,178.68 is: 1,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.66 : 7,032.80 = 1,178.68 : x
  2. Step 2: Convert to fraction form
    4,688.66/7,032.80 = 1,178.68/x
  3. Step 3: Cross multiply
    4,688.66x = 7,032.80 × 1,178.68
  4. Step 4: Simplify right side
    4,688.66x = 8,289,420.70
  5. Step 5: Solve for x
    x = 8,289,420.70/4,688.66
  6. Step 6: Final answer
    x = 1,767.97

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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.