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Finding the Fourth Proportional to 2,167.35, 2,990.14 and 1,421.72

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Solution

The fourth proportional to 2,167.35, 2,990.14 and 1,421.72 is: 1,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.35 : 2,990.14 = 1,421.72 : x
  2. Step 2: Convert to fraction form
    2,167.35/2,990.14 = 1,421.72/x
  3. Step 3: Cross multiply
    2,167.35x = 2,990.14 × 1,421.72
  4. Step 4: Simplify right side
    2,167.35x = 4,251,141.84
  5. Step 5: Solve for x
    x = 4,251,141.84/2,167.35
  6. Step 6: Final answer
    x = 1,961.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.