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Finding the Fourth Proportional to 1,881.92, 2,595.82 and 1,182.08

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Solution

The fourth proportional to 1,881.92, 2,595.82 and 1,182.08 is: 1,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.92 : 2,595.82 = 1,182.08 : x
  2. Step 2: Convert to fraction form
    1,881.92/2,595.82 = 1,182.08/x
  3. Step 3: Cross multiply
    1,881.92x = 2,595.82 × 1,182.08
  4. Step 4: Simplify right side
    1,881.92x = 3,068,466.91
  5. Step 5: Solve for x
    x = 3,068,466.91/1,881.92
  6. Step 6: Final answer
    x = 1,630.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.