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Finding the Fourth Proportional to 1,643.47, 2,464.48 and 616.75

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Solution

The fourth proportional to 1,643.47, 2,464.48 and 616.75 is: 924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.47 : 2,464.48 = 616.75 : x
  2. Step 2: Convert to fraction form
    1,643.47/2,464.48 = 616.75/x
  3. Step 3: Cross multiply
    1,643.47x = 2,464.48 × 616.75
  4. Step 4: Simplify right side
    1,643.47x = 1,519,968.04
  5. Step 5: Solve for x
    x = 1,519,968.04/1,643.47
  6. Step 6: Final answer
    x = 924.85

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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.