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Finding the Fourth Proportional to 2,957.51, 4,077.12 and 2,326.95

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Solution

The fourth proportional to 2,957.51, 4,077.12 and 2,326.95 is: 3,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.51 : 4,077.12 = 2,326.95 : x
  2. Step 2: Convert to fraction form
    2,957.51/4,077.12 = 2,326.95/x
  3. Step 3: Cross multiply
    2,957.51x = 4,077.12 × 2,326.95
  4. Step 4: Simplify right side
    2,957.51x = 9,487,222.36
  5. Step 5: Solve for x
    x = 9,487,222.36/2,957.51
  6. Step 6: Final answer
    x = 3,207.85

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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.