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Finding the Fourth Proportional to 2,357.84, 3,250.76 and 1,571.28

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Solution

The fourth proportional to 2,357.84, 3,250.76 and 1,571.28 is: 2,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.84 : 3,250.76 = 1,571.28 : x
  2. Step 2: Convert to fraction form
    2,357.84/3,250.76 = 1,571.28/x
  3. Step 3: Cross multiply
    2,357.84x = 3,250.76 × 1,571.28
  4. Step 4: Simplify right side
    2,357.84x = 5,107,854.17
  5. Step 5: Solve for x
    x = 5,107,854.17/2,357.84
  6. Step 6: Final answer
    x = 2,166.33

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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.