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Finding the Fourth Proportional to 2,464.72, 3,701.48 and 2,365.62

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Solution

The fourth proportional to 2,464.72, 3,701.48 and 2,365.62 is: 3,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.72 : 3,701.48 = 2,365.62 : x
  2. Step 2: Convert to fraction form
    2,464.72/3,701.48 = 2,365.62/x
  3. Step 3: Cross multiply
    2,464.72x = 3,701.48 × 2,365.62
  4. Step 4: Simplify right side
    2,464.72x = 8,756,295.12
  5. Step 5: Solve for x
    x = 8,756,295.12/2,464.72
  6. Step 6: Final answer
    x = 3,552.65

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1.5x scale

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.