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Finding the Fourth Proportional to 2,385.90, 3,580.78 and 1,645.06

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Solution

The fourth proportional to 2,385.90, 3,580.78 and 1,645.06 is: 2,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.90 : 3,580.78 = 1,645.06 : x
  2. Step 2: Convert to fraction form
    2,385.90/3,580.78 = 1,645.06/x
  3. Step 3: Cross multiply
    2,385.90x = 3,580.78 × 1,645.06
  4. Step 4: Simplify right side
    2,385.90x = 5,890,580.41
  5. Step 5: Solve for x
    x = 5,890,580.41/2,385.90
  6. Step 6: Final answer
    x = 2,468.91

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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.