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Finding the Fourth Proportional to 3,289.19, 4,933.04 and 948.69

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Solution

The fourth proportional to 3,289.19, 4,933.04 and 948.69 is: 1,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.19 : 4,933.04 = 948.69 : x
  2. Step 2: Convert to fraction form
    3,289.19/4,933.04 = 948.69/x
  3. Step 3: Cross multiply
    3,289.19x = 4,933.04 × 948.69
  4. Step 4: Simplify right side
    3,289.19x = 4,679,925.72
  5. Step 5: Solve for x
    x = 4,679,925.72/3,289.19
  6. Step 6: Final answer
    x = 1,422.82

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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.