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Finding the Fourth Proportional to 2,853.76, 4,282.08 and 1,122.16

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Solution

The fourth proportional to 2,853.76, 4,282.08 and 1,122.16 is: 1,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.76 : 4,282.08 = 1,122.16 : x
  2. Step 2: Convert to fraction form
    2,853.76/4,282.08 = 1,122.16/x
  3. Step 3: Cross multiply
    2,853.76x = 4,282.08 × 1,122.16
  4. Step 4: Simplify right side
    2,853.76x = 4,805,178.89
  5. Step 5: Solve for x
    x = 4,805,178.89/2,853.76
  6. Step 6: Final answer
    x = 1,683.81

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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.