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Finding the Fourth Proportional to 2,005.54, 2,987.15 and 1,901.50

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Solution

The fourth proportional to 2,005.54, 2,987.15 and 1,901.50 is: 2,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.54 : 2,987.15 = 1,901.50 : x
  2. Step 2: Convert to fraction form
    2,005.54/2,987.15 = 1,901.50/x
  3. Step 3: Cross multiply
    2,005.54x = 2,987.15 × 1,901.50
  4. Step 4: Simplify right side
    2,005.54x = 5,680,065.73
  5. Step 5: Solve for x
    x = 5,680,065.73/2,005.54
  6. Step 6: Final answer
    x = 2,832.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.