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Finding the Fourth Proportional to 2,316.32, 3,469.56 and 1,854.56

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Solution

The fourth proportional to 2,316.32, 3,469.56 and 1,854.56 is: 2,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.32 : 3,469.56 = 1,854.56 : x
  2. Step 2: Convert to fraction form
    2,316.32/3,469.56 = 1,854.56/x
  3. Step 3: Cross multiply
    2,316.32x = 3,469.56 × 1,854.56
  4. Step 4: Simplify right side
    2,316.32x = 6,434,507.19
  5. Step 5: Solve for x
    x = 6,434,507.19/2,316.32
  6. Step 6: Final answer
    x = 2,777.90

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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.