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Finding the Fourth Proportional to 2,535.88, 3,803.76 and 661.74

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Solution

The fourth proportional to 2,535.88, 3,803.76 and 661.74 is: 992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.88 : 3,803.76 = 661.74 : x
  2. Step 2: Convert to fraction form
    2,535.88/3,803.76 = 661.74/x
  3. Step 3: Cross multiply
    2,535.88x = 3,803.76 × 661.74
  4. Step 4: Simplify right side
    2,535.88x = 2,517,100.14
  5. Step 5: Solve for x
    x = 2,517,100.14/2,535.88
  6. Step 6: Final answer
    x = 992.59

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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.