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Finding the Fourth Proportional to 2,789.60, 4,184.55 and 841.64

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Solution

The fourth proportional to 2,789.60, 4,184.55 and 841.64 is: 1,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.60 : 4,184.55 = 841.64 : x
  2. Step 2: Convert to fraction form
    2,789.60/4,184.55 = 841.64/x
  3. Step 3: Cross multiply
    2,789.60x = 4,184.55 × 841.64
  4. Step 4: Simplify right side
    2,789.60x = 3,521,863.74
  5. Step 5: Solve for x
    x = 3,521,863.74/2,789.60
  6. Step 6: Final answer
    x = 1,262.50

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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.