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Finding the Fourth Proportional to 1,690.86, 2,540.85 and 1,580.10

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Solution

The fourth proportional to 1,690.86, 2,540.85 and 1,580.10 is: 2,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.86 : 2,540.85 = 1,580.10 : x
  2. Step 2: Convert to fraction form
    1,690.86/2,540.85 = 1,580.10/x
  3. Step 3: Cross multiply
    1,690.86x = 2,540.85 × 1,580.10
  4. Step 4: Simplify right side
    1,690.86x = 4,014,797.09
  5. Step 5: Solve for x
    x = 4,014,797.09/1,690.86
  6. Step 6: Final answer
    x = 2,374.41

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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.