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Finding the Fourth Proportional to 2,663.90, 3,995.85 and 2,356.10

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Solution

The fourth proportional to 2,663.90, 3,995.85 and 2,356.10 is: 3,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.90 : 3,995.85 = 2,356.10 : x
  2. Step 2: Convert to fraction form
    2,663.90/3,995.85 = 2,356.10/x
  3. Step 3: Cross multiply
    2,663.90x = 3,995.85 × 2,356.10
  4. Step 4: Simplify right side
    2,663.90x = 9,414,622.19
  5. Step 5: Solve for x
    x = 9,414,622.19/2,663.90
  6. Step 6: Final answer
    x = 3,534.15

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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.