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Finding the Fourth Proportional to 1,468.51, 2,202.07 and 852.41

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Solution

The fourth proportional to 1,468.51, 2,202.07 and 852.41 is: 1,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.51 : 2,202.07 = 852.41 : x
  2. Step 2: Convert to fraction form
    1,468.51/2,202.07 = 852.41/x
  3. Step 3: Cross multiply
    1,468.51x = 2,202.07 × 852.41
  4. Step 4: Simplify right side
    1,468.51x = 1,877,053.35
  5. Step 5: Solve for x
    x = 1,877,053.35/1,468.51
  6. Step 6: Final answer
    x = 1,278.20

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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.