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Finding the Fourth Proportional to 1,881.79, 2,823.35 and 842.53

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Solution

The fourth proportional to 1,881.79, 2,823.35 and 842.53 is: 1,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.79 : 2,823.35 = 842.53 : x
  2. Step 2: Convert to fraction form
    1,881.79/2,823.35 = 842.53/x
  3. Step 3: Cross multiply
    1,881.79x = 2,823.35 × 842.53
  4. Step 4: Simplify right side
    1,881.79x = 2,378,757.08
  5. Step 5: Solve for x
    x = 2,378,757.08/1,881.79
  6. Step 6: Final answer
    x = 1,264.09

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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.