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Finding the Fourth Proportional to 3,077.84, 4,605.76 and 2,465.44

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Solution

The fourth proportional to 3,077.84, 4,605.76 and 2,465.44 is: 3,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.84 : 4,605.76 = 2,465.44 : x
  2. Step 2: Convert to fraction form
    3,077.84/4,605.76 = 2,465.44/x
  3. Step 3: Cross multiply
    3,077.84x = 4,605.76 × 2,465.44
  4. Step 4: Simplify right side
    3,077.84x = 11,355,224.93
  5. Step 5: Solve for x
    x = 11,355,224.93/3,077.84
  6. Step 6: Final answer
    x = 3,689.35

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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.