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Finding the Fourth Proportional to 1,590, 2,194.20 and 969.12

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Solution

The fourth proportional to 1,590, 2,194.20 and 969.12 is: 1,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590 : 2,194.20 = 969.12 : x
  2. Step 2: Convert to fraction form
    1,590/2,194.20 = 969.12/x
  3. Step 3: Cross multiply
    1,590x = 2,194.20 × 969.12
  4. Step 4: Simplify right side
    1,590x = 2,126,443.10
  5. Step 5: Solve for x
    x = 2,126,443.10/1,590
  6. Step 6: Final answer
    x = 1,337.39

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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.