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Finding the Fourth Proportional to 2,167.42, 2,990.64 and 1,283.50

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Solution

The fourth proportional to 2,167.42, 2,990.64 and 1,283.50 is: 1,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.42 : 2,990.64 = 1,283.50 : x
  2. Step 2: Convert to fraction form
    2,167.42/2,990.64 = 1,283.50/x
  3. Step 3: Cross multiply
    2,167.42x = 2,990.64 × 1,283.50
  4. Step 4: Simplify right side
    2,167.42x = 3,838,486.44
  5. Step 5: Solve for x
    x = 3,838,486.44/2,167.42
  6. Step 6: Final answer
    x = 1,770.99

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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.