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Finding the Fourth Proportional to 2,389.84, 3,300.48 and 1,645.72

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Solution

The fourth proportional to 2,389.84, 3,300.48 and 1,645.72 is: 2,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.84 : 3,300.48 = 1,645.72 : x
  2. Step 2: Convert to fraction form
    2,389.84/3,300.48 = 1,645.72/x
  3. Step 3: Cross multiply
    2,389.84x = 3,300.48 × 1,645.72
  4. Step 4: Simplify right side
    2,389.84x = 5,431,665.95
  5. Step 5: Solve for x
    x = 5,431,665.95/2,389.84
  6. Step 6: Final answer
    x = 2,272.82

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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.