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Finding the Fourth Proportional to 2,292.74, 3,164.04 and 1,298.06

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Solution

The fourth proportional to 2,292.74, 3,164.04 and 1,298.06 is: 1,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.74 : 3,164.04 = 1,298.06 : x
  2. Step 2: Convert to fraction form
    2,292.74/3,164.04 = 1,298.06/x
  3. Step 3: Cross multiply
    2,292.74x = 3,164.04 × 1,298.06
  4. Step 4: Simplify right side
    2,292.74x = 4,107,113.76
  5. Step 5: Solve for x
    x = 4,107,113.76/2,292.74
  6. Step 6: Final answer
    x = 1,791.36

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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.