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Finding the Fourth Proportional to 2,852.13, 4,278.35 and 904.49

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Solution

The fourth proportional to 2,852.13, 4,278.35 and 904.49 is: 1,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.13 : 4,278.35 = 904.49 : x
  2. Step 2: Convert to fraction form
    2,852.13/4,278.35 = 904.49/x
  3. Step 3: Cross multiply
    2,852.13x = 4,278.35 × 904.49
  4. Step 4: Simplify right side
    2,852.13x = 3,869,698.88
  5. Step 5: Solve for x
    x = 3,869,698.88/2,852.13
  6. Step 6: Final answer
    x = 1,356.78

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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.