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Finding the Fourth Proportional to 1,576.96, 2,175.88 and 913.64

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Solution

The fourth proportional to 1,576.96, 2,175.88 and 913.64 is: 1,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.96 : 2,175.88 = 913.64 : x
  2. Step 2: Convert to fraction form
    1,576.96/2,175.88 = 913.64/x
  3. Step 3: Cross multiply
    1,576.96x = 2,175.88 × 913.64
  4. Step 4: Simplify right side
    1,576.96x = 1,987,971.00
  5. Step 5: Solve for x
    x = 1,987,971.00/1,576.96
  6. Step 6: Final answer
    x = 1,260.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.