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Finding the Fourth Proportional to 2,148.93, 2,943.30 and 2,022.84

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Solution

The fourth proportional to 2,148.93, 2,943.30 and 2,022.84 is: 2,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.93 : 2,943.30 = 2,022.84 : x
  2. Step 2: Convert to fraction form
    2,148.93/2,943.30 = 2,022.84/x
  3. Step 3: Cross multiply
    2,148.93x = 2,943.30 × 2,022.84
  4. Step 4: Simplify right side
    2,148.93x = 5,953,827.27
  5. Step 5: Solve for x
    x = 5,953,827.27/2,148.93
  6. Step 6: Final answer
    x = 2,770.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.