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Finding the Fourth Proportional to 3,434.40, 5,152.95 and 2,048.40

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Solution

The fourth proportional to 3,434.40, 5,152.95 and 2,048.40 is: 3,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.40 : 5,152.95 = 2,048.40 : x
  2. Step 2: Convert to fraction form
    3,434.40/5,152.95 = 2,048.40/x
  3. Step 3: Cross multiply
    3,434.40x = 5,152.95 × 2,048.40
  4. Step 4: Simplify right side
    3,434.40x = 10,555,302.78
  5. Step 5: Solve for x
    x = 10,555,302.78/3,434.40
  6. Step 6: Final answer
    x = 3,073.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.