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Finding the Fourth Proportional to 1,752.98, 2,419.16 and 967.05

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Solution

The fourth proportional to 1,752.98, 2,419.16 and 967.05 is: 1,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.98 : 2,419.16 = 967.05 : x
  2. Step 2: Convert to fraction form
    1,752.98/2,419.16 = 967.05/x
  3. Step 3: Cross multiply
    1,752.98x = 2,419.16 × 967.05
  4. Step 4: Simplify right side
    1,752.98x = 2,339,448.68
  5. Step 5: Solve for x
    x = 2,339,448.68/1,752.98
  6. Step 6: Final answer
    x = 1,334.56

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Why These Related Problems?

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