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Finding the Fourth Proportional to 1,901.58, 2,848.42 and 1,763.17

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Solution

The fourth proportional to 1,901.58, 2,848.42 and 1,763.17 is: 2,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.58 : 2,848.42 = 1,763.17 : x
  2. Step 2: Convert to fraction form
    1,901.58/2,848.42 = 1,763.17/x
  3. Step 3: Cross multiply
    1,901.58x = 2,848.42 × 1,763.17
  4. Step 4: Simplify right side
    1,901.58x = 5,022,248.69
  5. Step 5: Solve for x
    x = 5,022,248.69/1,901.58
  6. Step 6: Final answer
    x = 2,641.09

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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.