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Finding the Fourth Proportional to 3,113.69, 4,663.22 and 1,464.93

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Solution

The fourth proportional to 3,113.69, 4,663.22 and 1,464.93 is: 2,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.69 : 4,663.22 = 1,464.93 : x
  2. Step 2: Convert to fraction form
    3,113.69/4,663.22 = 1,464.93/x
  3. Step 3: Cross multiply
    3,113.69x = 4,663.22 × 1,464.93
  4. Step 4: Simplify right side
    3,113.69x = 6,831,283.55
  5. Step 5: Solve for x
    x = 6,831,283.55/3,113.69
  6. Step 6: Final answer
    x = 2,193.95

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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.