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Finding the Fourth Proportional to 2,467.50, 3,703.05 and 928.50

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Solution

The fourth proportional to 2,467.50, 3,703.05 and 928.50 is: 1,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.50 : 3,703.05 = 928.50 : x
  2. Step 2: Convert to fraction form
    2,467.50/3,703.05 = 928.50/x
  3. Step 3: Cross multiply
    2,467.50x = 3,703.05 × 928.50
  4. Step 4: Simplify right side
    2,467.50x = 3,438,281.93
  5. Step 5: Solve for x
    x = 3,438,281.93/2,467.50
  6. Step 6: Final answer
    x = 1,393.43

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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.