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Finding the Fourth Proportional to 2,102.96, 2,902.25 and 1,218.76

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Solution

The fourth proportional to 2,102.96, 2,902.25 and 1,218.76 is: 1,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.96 : 2,902.25 = 1,218.76 : x
  2. Step 2: Convert to fraction form
    2,102.96/2,902.25 = 1,218.76/x
  3. Step 3: Cross multiply
    2,102.96x = 2,902.25 × 1,218.76
  4. Step 4: Simplify right side
    2,102.96x = 3,537,132.86
  5. Step 5: Solve for x
    x = 3,537,132.86/2,102.96
  6. Step 6: Final answer
    x = 1,681.98

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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.