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Finding the Fourth Proportional to 2,903.80, 4,349.02 and 2,275.14

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Solution

The fourth proportional to 2,903.80, 4,349.02 and 2,275.14 is: 3,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.80 : 4,349.02 = 2,275.14 : x
  2. Step 2: Convert to fraction form
    2,903.80/4,349.02 = 2,275.14/x
  3. Step 3: Cross multiply
    2,903.80x = 4,349.02 × 2,275.14
  4. Step 4: Simplify right side
    2,903.80x = 9,894,629.36
  5. Step 5: Solve for x
    x = 9,894,629.36/2,903.80
  6. Step 6: Final answer
    x = 3,407.48

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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.