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Finding the Fourth Proportional to 1,461.84, 2,191.38 and 584.88

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Solution

The fourth proportional to 1,461.84, 2,191.38 and 584.88 is: 876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.84 : 2,191.38 = 584.88 : x
  2. Step 2: Convert to fraction form
    1,461.84/2,191.38 = 584.88/x
  3. Step 3: Cross multiply
    1,461.84x = 2,191.38 × 584.88
  4. Step 4: Simplify right side
    1,461.84x = 1,281,694.33
  5. Step 5: Solve for x
    x = 1,281,694.33/1,461.84
  6. Step 6: Final answer
    x = 876.77

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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.