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Finding the Fourth Proportional to 2,113.79, 2,917.01 and 1,169.49

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Solution

The fourth proportional to 2,113.79, 2,917.01 and 1,169.49 is: 1,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.79 : 2,917.01 = 1,169.49 : x
  2. Step 2: Convert to fraction form
    2,113.79/2,917.01 = 1,169.49/x
  3. Step 3: Cross multiply
    2,113.79x = 2,917.01 × 1,169.49
  4. Step 4: Simplify right side
    2,113.79x = 3,411,408.18
  5. Step 5: Solve for x
    x = 3,411,408.18/2,113.79
  6. Step 6: Final answer
    x = 1,613.89

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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.