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Finding the Fourth Proportional to 1,690.41, 2,523.90 and 1,673.76

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Solution

The fourth proportional to 1,690.41, 2,523.90 and 1,673.76 is: 2,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.41 : 2,523.90 = 1,673.76 : x
  2. Step 2: Convert to fraction form
    1,690.41/2,523.90 = 1,673.76/x
  3. Step 3: Cross multiply
    1,690.41x = 2,523.90 × 1,673.76
  4. Step 4: Simplify right side
    1,690.41x = 4,224,402.86
  5. Step 5: Solve for x
    x = 4,224,402.86/1,690.41
  6. Step 6: Final answer
    x = 2,499.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.