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Finding the Fourth Proportional to 2,969.40, 4,427.16 and 2,892.48

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Solution

The fourth proportional to 2,969.40, 4,427.16 and 2,892.48 is: 4,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.40 : 4,427.16 = 2,892.48 : x
  2. Step 2: Convert to fraction form
    2,969.40/4,427.16 = 2,892.48/x
  3. Step 3: Cross multiply
    2,969.40x = 4,427.16 × 2,892.48
  4. Step 4: Simplify right side
    2,969.40x = 12,805,471.76
  5. Step 5: Solve for x
    x = 12,805,471.76/2,969.40
  6. Step 6: Final answer
    x = 4,312.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.