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Finding the Fourth Proportional to 2,901.53, 4,005.25 and 1,957.88

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Solution

The fourth proportional to 2,901.53, 4,005.25 and 1,957.88 is: 2,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.53 : 4,005.25 = 1,957.88 : x
  2. Step 2: Convert to fraction form
    2,901.53/4,005.25 = 1,957.88/x
  3. Step 3: Cross multiply
    2,901.53x = 4,005.25 × 1,957.88
  4. Step 4: Simplify right side
    2,901.53x = 7,841,773.95
  5. Step 5: Solve for x
    x = 7,841,773.95/2,901.53
  6. Step 6: Final answer
    x = 2,702.64

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Why These Related Problems?

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