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Finding the Fourth Proportional to 1,464.94, 2,197.48 and 815.19

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Solution

The fourth proportional to 1,464.94, 2,197.48 and 815.19 is: 1,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.94 : 2,197.48 = 815.19 : x
  2. Step 2: Convert to fraction form
    1,464.94/2,197.48 = 815.19/x
  3. Step 3: Cross multiply
    1,464.94x = 2,197.48 × 815.19
  4. Step 4: Simplify right side
    1,464.94x = 1,791,363.72
  5. Step 5: Solve for x
    x = 1,791,363.72/1,464.94
  6. Step 6: Final answer
    x = 1,222.82

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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.