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Finding the Fourth Proportional to 2,338.40, 3,509.42 and 877.98

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Solution

The fourth proportional to 2,338.40, 3,509.42 and 877.98 is: 1,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.40 : 3,509.42 = 877.98 : x
  2. Step 2: Convert to fraction form
    2,338.40/3,509.42 = 877.98/x
  3. Step 3: Cross multiply
    2,338.40x = 3,509.42 × 877.98
  4. Step 4: Simplify right side
    2,338.40x = 3,081,200.57
  5. Step 5: Solve for x
    x = 3,081,200.57/2,338.40
  6. Step 6: Final answer
    x = 1,317.65

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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.