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Finding the Fourth Proportional to 2,345.75, 3,237.54 and 1,414.25

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Solution

The fourth proportional to 2,345.75, 3,237.54 and 1,414.25 is: 1,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.75 : 3,237.54 = 1,414.25 : x
  2. Step 2: Convert to fraction form
    2,345.75/3,237.54 = 1,414.25/x
  3. Step 3: Cross multiply
    2,345.75x = 3,237.54 × 1,414.25
  4. Step 4: Simplify right side
    2,345.75x = 4,578,690.95
  5. Step 5: Solve for x
    x = 4,578,690.95/2,345.75
  6. Step 6: Final answer
    x = 1,951.91

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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.