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Finding the Fourth Proportional to 2,466.07, 3,690.70 and 1,920.74

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Solution

The fourth proportional to 2,466.07, 3,690.70 and 1,920.74 is: 2,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.07 : 3,690.70 = 1,920.74 : x
  2. Step 2: Convert to fraction form
    2,466.07/3,690.70 = 1,920.74/x
  3. Step 3: Cross multiply
    2,466.07x = 3,690.70 × 1,920.74
  4. Step 4: Simplify right side
    2,466.07x = 7,088,851.86
  5. Step 5: Solve for x
    x = 7,088,851.86/2,466.07
  6. Step 6: Final answer
    x = 2,874.56

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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.