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Finding the Fourth Proportional to 2,090.91, 2,885.47 and 1,194.55

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Solution

The fourth proportional to 2,090.91, 2,885.47 and 1,194.55 is: 1,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.91 : 2,885.47 = 1,194.55 : x
  2. Step 2: Convert to fraction form
    2,090.91/2,885.47 = 1,194.55/x
  3. Step 3: Cross multiply
    2,090.91x = 2,885.47 × 1,194.55
  4. Step 4: Simplify right side
    2,090.91x = 3,446,834.71
  5. Step 5: Solve for x
    x = 3,446,834.71/2,090.91
  6. Step 6: Final answer
    x = 1,648.48

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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.