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Finding the Fourth Proportional to 2,916.11, 4,374.77 and 968.17

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Solution

The fourth proportional to 2,916.11, 4,374.77 and 968.17 is: 1,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.11 : 4,374.77 = 968.17 : x
  2. Step 2: Convert to fraction form
    2,916.11/4,374.77 = 968.17/x
  3. Step 3: Cross multiply
    2,916.11x = 4,374.77 × 968.17
  4. Step 4: Simplify right side
    2,916.11x = 4,235,521.07
  5. Step 5: Solve for x
    x = 4,235,521.07/2,916.11
  6. Step 6: Final answer
    x = 1,452.46

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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.