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Finding the Fourth Proportional to 3,154.62, 4,352.64 and 1,895.24

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Solution

The fourth proportional to 3,154.62, 4,352.64 and 1,895.24 is: 2,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.62 : 4,352.64 = 1,895.24 : x
  2. Step 2: Convert to fraction form
    3,154.62/4,352.64 = 1,895.24/x
  3. Step 3: Cross multiply
    3,154.62x = 4,352.64 × 1,895.24
  4. Step 4: Simplify right side
    3,154.62x = 8,249,297.43
  5. Step 5: Solve for x
    x = 8,249,297.43/3,154.62
  6. Step 6: Final answer
    x = 2,614.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.