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Finding the Fourth Proportional to 1,687.94, 2,329.35 and 1,129.22

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Solution

The fourth proportional to 1,687.94, 2,329.35 and 1,129.22 is: 1,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.94 : 2,329.35 = 1,129.22 : x
  2. Step 2: Convert to fraction form
    1,687.94/2,329.35 = 1,129.22/x
  3. Step 3: Cross multiply
    1,687.94x = 2,329.35 × 1,129.22
  4. Step 4: Simplify right side
    1,687.94x = 2,630,348.61
  5. Step 5: Solve for x
    x = 2,630,348.61/1,687.94
  6. Step 6: Final answer
    x = 1,558.32

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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.