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Finding the Fourth Proportional to 2,467.60, 3,699.04 and 907.24

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Solution

The fourth proportional to 2,467.60, 3,699.04 and 907.24 is: 1,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.60 : 3,699.04 = 907.24 : x
  2. Step 2: Convert to fraction form
    2,467.60/3,699.04 = 907.24/x
  3. Step 3: Cross multiply
    2,467.60x = 3,699.04 × 907.24
  4. Step 4: Simplify right side
    2,467.60x = 3,355,917.05
  5. Step 5: Solve for x
    x = 3,355,917.05/2,467.60
  6. Step 6: Final answer
    x = 1,359.99

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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.