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Finding the Fourth Proportional to 2,100.22, 2,897.93 and 1,215.98

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Solution

The fourth proportional to 2,100.22, 2,897.93 and 1,215.98 is: 1,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.22 : 2,897.93 = 1,215.98 : x
  2. Step 2: Convert to fraction form
    2,100.22/2,897.93 = 1,215.98/x
  3. Step 3: Cross multiply
    2,100.22x = 2,897.93 × 1,215.98
  4. Step 4: Simplify right side
    2,100.22x = 3,523,824.92
  5. Step 5: Solve for x
    x = 3,523,824.92/2,100.22
  6. Step 6: Final answer
    x = 1,677.84

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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.