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Finding the Fourth Proportional to 2,911.32, 4,366.65 and 2,740

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Solution

The fourth proportional to 2,911.32, 4,366.65 and 2,740 is: 4,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.32 : 4,366.65 = 2,740 : x
  2. Step 2: Convert to fraction form
    2,911.32/4,366.65 = 2,740/x
  3. Step 3: Cross multiply
    2,911.32x = 4,366.65 × 2,740
  4. Step 4: Simplify right side
    2,911.32x = 11,964,621.00
  5. Step 5: Solve for x
    x = 11,964,621.00/2,911.32
  6. Step 6: Final answer
    x = 4,109.69

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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.