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Finding the Fourth Proportional to 3,061.50, 4,592.25 and 753

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Solution

The fourth proportional to 3,061.50, 4,592.25 and 753 is: 1,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.50 : 4,592.25 = 753 : x
  2. Step 2: Convert to fraction form
    3,061.50/4,592.25 = 753/x
  3. Step 3: Cross multiply
    3,061.50x = 4,592.25 × 753
  4. Step 4: Simplify right side
    3,061.50x = 3,457,964.25
  5. Step 5: Solve for x
    x = 3,457,964.25/3,061.50
  6. Step 6: Final answer
    x = 1,129.50

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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.