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Finding the Fourth Proportional to 2,878.87, 4,319.16 and 931.03

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Solution

The fourth proportional to 2,878.87, 4,319.16 and 931.03 is: 1,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.87 : 4,319.16 = 931.03 : x
  2. Step 2: Convert to fraction form
    2,878.87/4,319.16 = 931.03/x
  3. Step 3: Cross multiply
    2,878.87x = 4,319.16 × 931.03
  4. Step 4: Simplify right side
    2,878.87x = 4,021,267.53
  5. Step 5: Solve for x
    x = 4,021,267.53/2,878.87
  6. Step 6: Final answer
    x = 1,396.82

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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.