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Finding the Fourth Proportional to 1,483.80, 2,213.63 and 1,266

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Solution

The fourth proportional to 1,483.80, 2,213.63 and 1,266 is: 1,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.80 : 2,213.63 = 1,266 : x
  2. Step 2: Convert to fraction form
    1,483.80/2,213.63 = 1,266/x
  3. Step 3: Cross multiply
    1,483.80x = 2,213.63 × 1,266
  4. Step 4: Simplify right side
    1,483.80x = 2,802,449.25
  5. Step 5: Solve for x
    x = 2,802,449.25/1,483.80
  6. Step 6: Final answer
    x = 1,888.70

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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.