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Finding the Fourth Proportional to 4,066.58, 6,095.68 and 1,600.40

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Solution

The fourth proportional to 4,066.58, 6,095.68 and 1,600.40 is: 2,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.58 : 6,095.68 = 1,600.40 : x
  2. Step 2: Convert to fraction form
    4,066.58/6,095.68 = 1,600.40/x
  3. Step 3: Cross multiply
    4,066.58x = 6,095.68 × 1,600.40
  4. Step 4: Simplify right side
    4,066.58x = 9,755,526.27
  5. Step 5: Solve for x
    x = 9,755,526.27/4,066.58
  6. Step 6: Final answer
    x = 2,398.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.