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Finding the Fourth Proportional to 3,402.60, 4,693.86 and 2,005.08

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Solution

The fourth proportional to 3,402.60, 4,693.86 and 2,005.08 is: 2,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.60 : 4,693.86 = 2,005.08 : x
  2. Step 2: Convert to fraction form
    3,402.60/4,693.86 = 2,005.08/x
  3. Step 3: Cross multiply
    3,402.60x = 4,693.86 × 2,005.08
  4. Step 4: Simplify right side
    3,402.60x = 9,411,564.81
  5. Step 5: Solve for x
    x = 9,411,564.81/3,402.60
  6. Step 6: Final answer
    x = 2,765.99

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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.