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Finding the Fourth Proportional to 1,417.57, 2,127.22 and 967.79

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Solution

The fourth proportional to 1,417.57, 2,127.22 and 967.79 is: 1,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.57 : 2,127.22 = 967.79 : x
  2. Step 2: Convert to fraction form
    1,417.57/2,127.22 = 967.79/x
  3. Step 3: Cross multiply
    1,417.57x = 2,127.22 × 967.79
  4. Step 4: Simplify right side
    1,417.57x = 2,058,705.14
  5. Step 5: Solve for x
    x = 2,058,705.14/1,417.57
  6. Step 6: Final answer
    x = 1,452.28

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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.