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Finding the Fourth Proportional to 2,883, 3,978.42 and 1,624.26

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Solution

The fourth proportional to 2,883, 3,978.42 and 1,624.26 is: 2,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883 : 3,978.42 = 1,624.26 : x
  2. Step 2: Convert to fraction form
    2,883/3,978.42 = 1,624.26/x
  3. Step 3: Cross multiply
    2,883x = 3,978.42 × 1,624.26
  4. Step 4: Simplify right side
    2,883x = 6,461,988.47
  5. Step 5: Solve for x
    x = 6,461,988.47/2,883
  6. Step 6: Final answer
    x = 2,241.41

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1.5x scale

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.