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Finding the Fourth Proportional to 2,901.78, 4,005.59 and 1,958.13

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Solution

The fourth proportional to 2,901.78, 4,005.59 and 1,958.13 is: 2,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.78 : 4,005.59 = 1,958.13 : x
  2. Step 2: Convert to fraction form
    2,901.78/4,005.59 = 1,958.13/x
  3. Step 3: Cross multiply
    2,901.78x = 4,005.59 × 1,958.13
  4. Step 4: Simplify right side
    2,901.78x = 7,843,450.81
  5. Step 5: Solve for x
    x = 7,843,450.81/2,901.78
  6. Step 6: Final answer
    x = 2,702.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.