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Finding the Fourth Proportional to 2,872.85, 4,307.25 and 1,116.39

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Solution

The fourth proportional to 2,872.85, 4,307.25 and 1,116.39 is: 1,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.85 : 4,307.25 = 1,116.39 : x
  2. Step 2: Convert to fraction form
    2,872.85/4,307.25 = 1,116.39/x
  3. Step 3: Cross multiply
    2,872.85x = 4,307.25 × 1,116.39
  4. Step 4: Simplify right side
    2,872.85x = 4,808,570.83
  5. Step 5: Solve for x
    x = 4,808,570.83/2,872.85
  6. Step 6: Final answer
    x = 1,673.80

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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.