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Finding the Fourth Proportional to 2,467.76, 3,701.64 and 1,006.58

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Solution

The fourth proportional to 2,467.76, 3,701.64 and 1,006.58 is: 1,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.76 : 3,701.64 = 1,006.58 : x
  2. Step 2: Convert to fraction form
    2,467.76/3,701.64 = 1,006.58/x
  3. Step 3: Cross multiply
    2,467.76x = 3,701.64 × 1,006.58
  4. Step 4: Simplify right side
    2,467.76x = 3,725,996.79
  5. Step 5: Solve for x
    x = 3,725,996.79/2,467.76
  6. Step 6: Final answer
    x = 1,509.87

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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.