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Finding the Fourth Proportional to 2,888.71, 4,333.59 and 914.83

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Solution

The fourth proportional to 2,888.71, 4,333.59 and 914.83 is: 1,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.71 : 4,333.59 = 914.83 : x
  2. Step 2: Convert to fraction form
    2,888.71/4,333.59 = 914.83/x
  3. Step 3: Cross multiply
    2,888.71x = 4,333.59 × 914.83
  4. Step 4: Simplify right side
    2,888.71x = 3,964,498.14
  5. Step 5: Solve for x
    x = 3,964,498.14/2,888.71
  6. Step 6: Final answer
    x = 1,372.41

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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.