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Finding the Fourth Proportional to 4,969.72, 7,454.70 and 1,507

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Solution

The fourth proportional to 4,969.72, 7,454.70 and 1,507 is: 2,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.72 : 7,454.70 = 1,507 : x
  2. Step 2: Convert to fraction form
    4,969.72/7,454.70 = 1,507/x
  3. Step 3: Cross multiply
    4,969.72x = 7,454.70 × 1,507
  4. Step 4: Simplify right side
    4,969.72x = 11,234,232.90
  5. Step 5: Solve for x
    x = 11,234,232.90/4,969.72
  6. Step 6: Final answer
    x = 2,260.54

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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.