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Finding the Fourth Proportional to 1,569.77, 2,351.00 and 952.85

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Solution

The fourth proportional to 1,569.77, 2,351.00 and 952.85 is: 1,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.77 : 2,351.00 = 952.85 : x
  2. Step 2: Convert to fraction form
    1,569.77/2,351.00 = 952.85/x
  3. Step 3: Cross multiply
    1,569.77x = 2,351.00 × 952.85
  4. Step 4: Simplify right side
    1,569.77x = 2,240,133.83
  5. Step 5: Solve for x
    x = 2,240,133.83/1,569.77
  6. Step 6: Final answer
    x = 1,427.05

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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.