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Finding the Fourth Proportional to 2,303.76, 3,438.93 and 2,132.46

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Solution

The fourth proportional to 2,303.76, 3,438.93 and 2,132.46 is: 3,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.76 : 3,438.93 = 2,132.46 : x
  2. Step 2: Convert to fraction form
    2,303.76/3,438.93 = 2,132.46/x
  3. Step 3: Cross multiply
    2,303.76x = 3,438.93 × 2,132.46
  4. Step 4: Simplify right side
    2,303.76x = 7,333,380.67
  5. Step 5: Solve for x
    x = 7,333,380.67/2,303.76
  6. Step 6: Final answer
    x = 3,183.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.