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Finding the Fourth Proportional to 2,102.88, 2,900.70 and 1,355.66

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Solution

The fourth proportional to 2,102.88, 2,900.70 and 1,355.66 is: 1,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.88 : 2,900.70 = 1,355.66 : x
  2. Step 2: Convert to fraction form
    2,102.88/2,900.70 = 1,355.66/x
  3. Step 3: Cross multiply
    2,102.88x = 2,900.70 × 1,355.66
  4. Step 4: Simplify right side
    2,102.88x = 3,932,348.46
  5. Step 5: Solve for x
    x = 3,932,348.46/2,102.88
  6. Step 6: Final answer
    x = 1,869.98

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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.