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Finding the Fourth Proportional to 2,891.36, 4,335.29 and 1,407.65

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Solution

The fourth proportional to 2,891.36, 4,335.29 and 1,407.65 is: 2,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.36 : 4,335.29 = 1,407.65 : x
  2. Step 2: Convert to fraction form
    2,891.36/4,335.29 = 1,407.65/x
  3. Step 3: Cross multiply
    2,891.36x = 4,335.29 × 1,407.65
  4. Step 4: Simplify right side
    2,891.36x = 6,102,542.25
  5. Step 5: Solve for x
    x = 6,102,542.25/2,891.36
  6. Step 6: Final answer
    x = 2,110.62

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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.