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Finding the Fourth Proportional to 2,853.98, 4,281.13 and 880.97

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Solution

The fourth proportional to 2,853.98, 4,281.13 and 880.97 is: 1,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.98 : 4,281.13 = 880.97 : x
  2. Step 2: Convert to fraction form
    2,853.98/4,281.13 = 880.97/x
  3. Step 3: Cross multiply
    2,853.98x = 4,281.13 × 880.97
  4. Step 4: Simplify right side
    2,853.98x = 3,771,547.10
  5. Step 5: Solve for x
    x = 3,771,547.10/2,853.98
  6. Step 6: Final answer
    x = 1,321.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.