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Finding the Fourth Proportional to 2,690.40, 4,032.72 and 1,920.48

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Solution

The fourth proportional to 2,690.40, 4,032.72 and 1,920.48 is: 2,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.40 : 4,032.72 = 1,920.48 : x
  2. Step 2: Convert to fraction form
    2,690.40/4,032.72 = 1,920.48/x
  3. Step 3: Cross multiply
    2,690.40x = 4,032.72 × 1,920.48
  4. Step 4: Simplify right side
    2,690.40x = 7,744,758.11
  5. Step 5: Solve for x
    x = 7,744,758.11/2,690.40
  6. Step 6: Final answer
    x = 2,878.66

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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.