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Finding the Fourth Proportional to 2,393.90, 3,585.81 and 1,096.46

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Solution

The fourth proportional to 2,393.90, 3,585.81 and 1,096.46 is: 1,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.90 : 3,585.81 = 1,096.46 : x
  2. Step 2: Convert to fraction form
    2,393.90/3,585.81 = 1,096.46/x
  3. Step 3: Cross multiply
    2,393.90x = 3,585.81 × 1,096.46
  4. Step 4: Simplify right side
    2,393.90x = 3,931,697.23
  5. Step 5: Solve for x
    x = 3,931,697.23/2,393.90
  6. Step 6: Final answer
    x = 1,642.38

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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.