Home / 1,292.74-1,948.85-1,209.22

Finding the Fourth Proportional to 1,292.74, 1,948.85 and 1,209.22

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Solution

The fourth proportional to 1,292.74, 1,948.85 and 1,209.22 is: 1,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.74 : 1,948.85 = 1,209.22 : x
  2. Step 2: Convert to fraction form
    1,292.74/1,948.85 = 1,209.22/x
  3. Step 3: Cross multiply
    1,292.74x = 1,948.85 × 1,209.22
  4. Step 4: Simplify right side
    1,292.74x = 2,356,588.40
  5. Step 5: Solve for x
    x = 2,356,588.40/1,292.74
  6. Step 6: Final answer
    x = 1,822.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.