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Finding the Fourth Proportional to 1,729.02, 2,593.99 and 907.07

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Solution

The fourth proportional to 1,729.02, 2,593.99 and 907.07 is: 1,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.02 : 2,593.99 = 907.07 : x
  2. Step 2: Convert to fraction form
    1,729.02/2,593.99 = 907.07/x
  3. Step 3: Cross multiply
    1,729.02x = 2,593.99 × 907.07
  4. Step 4: Simplify right side
    1,729.02x = 2,352,930.51
  5. Step 5: Solve for x
    x = 2,352,930.51/1,729.02
  6. Step 6: Final answer
    x = 1,360.85

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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.