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Finding the Fourth Proportional to 2,308.96, 3,465.74 and 1,077.24

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Solution

The fourth proportional to 2,308.96, 3,465.74 and 1,077.24 is: 1,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.96 : 3,465.74 = 1,077.24 : x
  2. Step 2: Convert to fraction form
    2,308.96/3,465.74 = 1,077.24/x
  3. Step 3: Cross multiply
    2,308.96x = 3,465.74 × 1,077.24
  4. Step 4: Simplify right side
    2,308.96x = 3,733,433.76
  5. Step 5: Solve for x
    x = 3,733,433.76/2,308.96
  6. Step 6: Final answer
    x = 1,616.93

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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.