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Finding the Fourth Proportional to 2,916.32, 4,370.22 and 1,453.46

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Solution

The fourth proportional to 2,916.32, 4,370.22 and 1,453.46 is: 2,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.32 : 4,370.22 = 1,453.46 : x
  2. Step 2: Convert to fraction form
    2,916.32/4,370.22 = 1,453.46/x
  3. Step 3: Cross multiply
    2,916.32x = 4,370.22 × 1,453.46
  4. Step 4: Simplify right side
    2,916.32x = 6,351,918.11
  5. Step 5: Solve for x
    x = 6,351,918.11/2,916.32
  6. Step 6: Final answer
    x = 2,178.06

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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.