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Finding the Fourth Proportional to 2,373.84, 3,552.56 and 1,640.28

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Solution

The fourth proportional to 2,373.84, 3,552.56 and 1,640.28 is: 2,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.84 : 3,552.56 = 1,640.28 : x
  2. Step 2: Convert to fraction form
    2,373.84/3,552.56 = 1,640.28/x
  3. Step 3: Cross multiply
    2,373.84x = 3,552.56 × 1,640.28
  4. Step 4: Simplify right side
    2,373.84x = 5,827,204.39
  5. Step 5: Solve for x
    x = 5,827,204.39/2,373.84
  6. Step 6: Final answer
    x = 2,454.76

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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.