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Finding the Fourth Proportional to 2,073.51, 3,106.22 and 1,378.13

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Solution

The fourth proportional to 2,073.51, 3,106.22 and 1,378.13 is: 2,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.51 : 3,106.22 = 1,378.13 : x
  2. Step 2: Convert to fraction form
    2,073.51/3,106.22 = 1,378.13/x
  3. Step 3: Cross multiply
    2,073.51x = 3,106.22 × 1,378.13
  4. Step 4: Simplify right side
    2,073.51x = 4,280,752.55
  5. Step 5: Solve for x
    x = 4,280,752.55/2,073.51
  6. Step 6: Final answer
    x = 2,064.50

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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.