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Finding the Fourth Proportional to 2,801.51, 4,202.30 and 952.66

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Solution

The fourth proportional to 2,801.51, 4,202.30 and 952.66 is: 1,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.51 : 4,202.30 = 952.66 : x
  2. Step 2: Convert to fraction form
    2,801.51/4,202.30 = 952.66/x
  3. Step 3: Cross multiply
    2,801.51x = 4,202.30 × 952.66
  4. Step 4: Simplify right side
    2,801.51x = 4,003,363.12
  5. Step 5: Solve for x
    x = 4,003,363.12/2,801.51
  6. Step 6: Final answer
    x = 1,429.00

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1.5x scale

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.