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Finding the Fourth Proportional to 2,378.79, 3,567.71 and 1,919.25

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Solution

The fourth proportional to 2,378.79, 3,567.71 and 1,919.25 is: 2,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.79 : 3,567.71 = 1,919.25 : x
  2. Step 2: Convert to fraction form
    2,378.79/3,567.71 = 1,919.25/x
  3. Step 3: Cross multiply
    2,378.79x = 3,567.71 × 1,919.25
  4. Step 4: Simplify right side
    2,378.79x = 6,847,332.22
  5. Step 5: Solve for x
    x = 6,847,332.22/2,378.79
  6. Step 6: Final answer
    x = 2,878.49

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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.