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Finding the Fourth Proportional to 2,854.99, 4,282.46 and 880.62

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Solution

The fourth proportional to 2,854.99, 4,282.46 and 880.62 is: 1,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.99 : 4,282.46 = 880.62 : x
  2. Step 2: Convert to fraction form
    2,854.99/4,282.46 = 880.62/x
  3. Step 3: Cross multiply
    2,854.99x = 4,282.46 × 880.62
  4. Step 4: Simplify right side
    2,854.99x = 3,771,219.93
  5. Step 5: Solve for x
    x = 3,771,219.93/2,854.99
  6. Step 6: Final answer
    x = 1,320.92

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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.