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Finding the Fourth Proportional to 1,464.97, 2,021.61 and 875.20

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Solution

The fourth proportional to 1,464.97, 2,021.61 and 875.20 is: 1,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.97 : 2,021.61 = 875.20 : x
  2. Step 2: Convert to fraction form
    1,464.97/2,021.61 = 875.20/x
  3. Step 3: Cross multiply
    1,464.97x = 2,021.61 × 875.20
  4. Step 4: Simplify right side
    1,464.97x = 1,769,313.07
  5. Step 5: Solve for x
    x = 1,769,313.07/1,464.97
  6. Step 6: Final answer
    x = 1,207.75

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