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Finding the Fourth Proportional to 1,478.80, 2,203.70 and 1,349.20

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Solution

The fourth proportional to 1,478.80, 2,203.70 and 1,349.20 is: 2,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.80 : 2,203.70 = 1,349.20 : x
  2. Step 2: Convert to fraction form
    1,478.80/2,203.70 = 1,349.20/x
  3. Step 3: Cross multiply
    1,478.80x = 2,203.70 × 1,349.20
  4. Step 4: Simplify right side
    1,478.80x = 2,973,232.04
  5. Step 5: Solve for x
    x = 2,973,232.04/1,478.80
  6. Step 6: Final answer
    x = 2,010.57

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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.