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Finding the Fourth Proportional to 2,066.90, 2,852.30 and 1,122.72

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Solution

The fourth proportional to 2,066.90, 2,852.30 and 1,122.72 is: 1,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.90 : 2,852.30 = 1,122.72 : x
  2. Step 2: Convert to fraction form
    2,066.90/2,852.30 = 1,122.72/x
  3. Step 3: Cross multiply
    2,066.90x = 2,852.30 × 1,122.72
  4. Step 4: Simplify right side
    2,066.90x = 3,202,334.26
  5. Step 5: Solve for x
    x = 3,202,334.26/2,066.90
  6. Step 6: Final answer
    x = 1,549.34

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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.