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Finding the Fourth Proportional to 2,758.16, 4,137.28 and 810.40

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Solution

The fourth proportional to 2,758.16, 4,137.28 and 810.40 is: 1,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.16 : 4,137.28 = 810.40 : x
  2. Step 2: Convert to fraction form
    2,758.16/4,137.28 = 810.40/x
  3. Step 3: Cross multiply
    2,758.16x = 4,137.28 × 810.40
  4. Step 4: Simplify right side
    2,758.16x = 3,352,851.71
  5. Step 5: Solve for x
    x = 3,352,851.71/2,758.16
  6. Step 6: Final answer
    x = 1,215.61

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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.