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Finding the Fourth Proportional to 1,576.77, 2,366.82 and 884.01

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Solution

The fourth proportional to 1,576.77, 2,366.82 and 884.01 is: 1,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.77 : 2,366.82 = 884.01 : x
  2. Step 2: Convert to fraction form
    1,576.77/2,366.82 = 884.01/x
  3. Step 3: Cross multiply
    1,576.77x = 2,366.82 × 884.01
  4. Step 4: Simplify right side
    1,576.77x = 2,092,301.42
  5. Step 5: Solve for x
    x = 2,092,301.42/1,576.77
  6. Step 6: Final answer
    x = 1,326.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.