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Finding the Fourth Proportional to 2,290.95, 3,434.06 and 902.41

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Solution

The fourth proportional to 2,290.95, 3,434.06 and 902.41 is: 1,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.95 : 3,434.06 = 902.41 : x
  2. Step 2: Convert to fraction form
    2,290.95/3,434.06 = 902.41/x
  3. Step 3: Cross multiply
    2,290.95x = 3,434.06 × 902.41
  4. Step 4: Simplify right side
    2,290.95x = 3,098,923.76
  5. Step 5: Solve for x
    x = 3,098,923.76/2,290.95
  6. Step 6: Final answer
    x = 1,352.68

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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.