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Finding the Fourth Proportional to 1,834.91, 2,752.45 and 585.63

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Solution

The fourth proportional to 1,834.91, 2,752.45 and 585.63 is: 878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.91 : 2,752.45 = 585.63 : x
  2. Step 2: Convert to fraction form
    1,834.91/2,752.45 = 585.63/x
  3. Step 3: Cross multiply
    1,834.91x = 2,752.45 × 585.63
  4. Step 4: Simplify right side
    1,834.91x = 1,611,917.29
  5. Step 5: Solve for x
    x = 1,611,917.29/1,834.91
  6. Step 6: Final answer
    x = 878.47

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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.