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Finding the Fourth Proportional to 2,390.08, 3,585.22 and 746.66

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Solution

The fourth proportional to 2,390.08, 3,585.22 and 746.66 is: 1,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.08 : 3,585.22 = 746.66 : x
  2. Step 2: Convert to fraction form
    2,390.08/3,585.22 = 746.66/x
  3. Step 3: Cross multiply
    2,390.08x = 3,585.22 × 746.66
  4. Step 4: Simplify right side
    2,390.08x = 2,676,922.44
  5. Step 5: Solve for x
    x = 2,676,922.44/2,390.08
  6. Step 6: Final answer
    x = 1,120.02

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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.