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Finding the Fourth Proportional to 2,929.50, 4,394.97 and 877.50

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Solution

The fourth proportional to 2,929.50, 4,394.97 and 877.50 is: 1,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.50 : 4,394.97 = 877.50 : x
  2. Step 2: Convert to fraction form
    2,929.50/4,394.97 = 877.50/x
  3. Step 3: Cross multiply
    2,929.50x = 4,394.97 × 877.50
  4. Step 4: Simplify right side
    2,929.50x = 3,856,586.18
  5. Step 5: Solve for x
    x = 3,856,586.18/2,929.50
  6. Step 6: Final answer
    x = 1,316.47

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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.