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Finding the Fourth Proportional to 2,251.84, 3,107.70 and 1,307.94

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Solution

The fourth proportional to 2,251.84, 3,107.70 and 1,307.94 is: 1,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.84 : 3,107.70 = 1,307.94 : x
  2. Step 2: Convert to fraction form
    2,251.84/3,107.70 = 1,307.94/x
  3. Step 3: Cross multiply
    2,251.84x = 3,107.70 × 1,307.94
  4. Step 4: Simplify right side
    2,251.84x = 4,064,685.14
  5. Step 5: Solve for x
    x = 4,064,685.14/2,251.84
  6. Step 6: Final answer
    x = 1,805.05

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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.