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Finding the Fourth Proportional to 1,920.88, 2,651.16 and 1,506.16

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Solution

The fourth proportional to 1,920.88, 2,651.16 and 1,506.16 is: 2,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.88 : 2,651.16 = 1,506.16 : x
  2. Step 2: Convert to fraction form
    1,920.88/2,651.16 = 1,506.16/x
  3. Step 3: Cross multiply
    1,920.88x = 2,651.16 × 1,506.16
  4. Step 4: Simplify right side
    1,920.88x = 3,993,071.15
  5. Step 5: Solve for x
    x = 3,993,071.15/1,920.88
  6. Step 6: Final answer
    x = 2,078.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.