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Finding the Fourth Proportional to 2,920.16, 4,028.20 and 1,856

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Solution

The fourth proportional to 2,920.16, 4,028.20 and 1,856 is: 2,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.16 : 4,028.20 = 1,856 : x
  2. Step 2: Convert to fraction form
    2,920.16/4,028.20 = 1,856/x
  3. Step 3: Cross multiply
    2,920.16x = 4,028.20 × 1,856
  4. Step 4: Simplify right side
    2,920.16x = 7,476,339.20
  5. Step 5: Solve for x
    x = 7,476,339.20/2,920.16
  6. Step 6: Final answer
    x = 2,560.25

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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.