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Finding the Fourth Proportional to 1,494.05, 2,235.60 and 878.04

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Solution

The fourth proportional to 1,494.05, 2,235.60 and 878.04 is: 1,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.05 : 2,235.60 = 878.04 : x
  2. Step 2: Convert to fraction form
    1,494.05/2,235.60 = 878.04/x
  3. Step 3: Cross multiply
    1,494.05x = 2,235.60 × 878.04
  4. Step 4: Simplify right side
    1,494.05x = 1,962,946.22
  5. Step 5: Solve for x
    x = 1,962,946.22/1,494.05
  6. Step 6: Final answer
    x = 1,313.85

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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.