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Finding the Fourth Proportional to 2,923.46, 4,385.04 and 732.06

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Solution

The fourth proportional to 2,923.46, 4,385.04 and 732.06 is: 1,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.46 : 4,385.04 = 732.06 : x
  2. Step 2: Convert to fraction form
    2,923.46/4,385.04 = 732.06/x
  3. Step 3: Cross multiply
    2,923.46x = 4,385.04 × 732.06
  4. Step 4: Simplify right side
    2,923.46x = 3,210,112.38
  5. Step 5: Solve for x
    x = 3,210,112.38/2,923.46
  6. Step 6: Final answer
    x = 1,098.05

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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.