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Finding the Fourth Proportional to 2,756.34, 3,802.65 and 1,576.77

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Solution

The fourth proportional to 2,756.34, 3,802.65 and 1,576.77 is: 2,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.34 : 3,802.65 = 1,576.77 : x
  2. Step 2: Convert to fraction form
    2,756.34/3,802.65 = 1,576.77/x
  3. Step 3: Cross multiply
    2,756.34x = 3,802.65 × 1,576.77
  4. Step 4: Simplify right side
    2,756.34x = 5,995,904.44
  5. Step 5: Solve for x
    x = 5,995,904.44/2,756.34
  6. Step 6: Final answer
    x = 2,175.31

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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.