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Finding the Fourth Proportional to 2,391.88, 3,584.22 and 1,417

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Solution

The fourth proportional to 2,391.88, 3,584.22 and 1,417 is: 2,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.88 : 3,584.22 = 1,417 : x
  2. Step 2: Convert to fraction form
    2,391.88/3,584.22 = 1,417/x
  3. Step 3: Cross multiply
    2,391.88x = 3,584.22 × 1,417
  4. Step 4: Simplify right side
    2,391.88x = 5,078,839.74
  5. Step 5: Solve for x
    x = 5,078,839.74/2,391.88
  6. Step 6: Final answer
    x = 2,123.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.