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Finding the Fourth Proportional to 2,568.36, 3,854.36 and 2,320.50

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Solution

The fourth proportional to 2,568.36, 3,854.36 and 2,320.50 is: 3,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.36 : 3,854.36 = 2,320.50 : x
  2. Step 2: Convert to fraction form
    2,568.36/3,854.36 = 2,320.50/x
  3. Step 3: Cross multiply
    2,568.36x = 3,854.36 × 2,320.50
  4. Step 4: Simplify right side
    2,568.36x = 8,944,030.78
  5. Step 5: Solve for x
    x = 8,944,030.78/2,568.36
  6. Step 6: Final answer
    x = 3,482.39

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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.