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Finding the Fourth Proportional to 2,385.78, 3,292.46 and 1,390.89

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Solution

The fourth proportional to 2,385.78, 3,292.46 and 1,390.89 is: 1,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.78 : 3,292.46 = 1,390.89 : x
  2. Step 2: Convert to fraction form
    2,385.78/3,292.46 = 1,390.89/x
  3. Step 3: Cross multiply
    2,385.78x = 3,292.46 × 1,390.89
  4. Step 4: Simplify right side
    2,385.78x = 4,579,449.69
  5. Step 5: Solve for x
    x = 4,579,449.69/2,385.78
  6. Step 6: Final answer
    x = 1,919.48

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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.