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Finding the Fourth Proportional to 2,916.95, 4,376.10 and 969.15

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Solution

The fourth proportional to 2,916.95, 4,376.10 and 969.15 is: 1,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.95 : 4,376.10 = 969.15 : x
  2. Step 2: Convert to fraction form
    2,916.95/4,376.10 = 969.15/x
  3. Step 3: Cross multiply
    2,916.95x = 4,376.10 × 969.15
  4. Step 4: Simplify right side
    2,916.95x = 4,241,097.32
  5. Step 5: Solve for x
    x = 4,241,097.32/2,916.95
  6. Step 6: Final answer
    x = 1,453.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.