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Finding the Fourth Proportional to 2,952.40, 4,069.80 and 1,903.12

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Solution

The fourth proportional to 2,952.40, 4,069.80 and 1,903.12 is: 2,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.40 : 4,069.80 = 1,903.12 : x
  2. Step 2: Convert to fraction form
    2,952.40/4,069.80 = 1,903.12/x
  3. Step 3: Cross multiply
    2,952.40x = 4,069.80 × 1,903.12
  4. Step 4: Simplify right side
    2,952.40x = 7,745,317.78
  5. Step 5: Solve for x
    x = 7,745,317.78/2,952.40
  6. Step 6: Final answer
    x = 2,623.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.