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Finding the Fourth Proportional to 2,465.88, 3,700.64 and 1,167.64

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Solution

The fourth proportional to 2,465.88, 3,700.64 and 1,167.64 is: 1,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.88 : 3,700.64 = 1,167.64 : x
  2. Step 2: Convert to fraction form
    2,465.88/3,700.64 = 1,167.64/x
  3. Step 3: Cross multiply
    2,465.88x = 3,700.64 × 1,167.64
  4. Step 4: Simplify right side
    2,465.88x = 4,321,015.29
  5. Step 5: Solve for x
    x = 4,321,015.29/2,465.88
  6. Step 6: Final answer
    x = 1,752.32

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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.