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Finding the Fourth Proportional to 2,509.83, 3,459.24 and 1,669.03

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Solution

The fourth proportional to 2,509.83, 3,459.24 and 1,669.03 is: 2,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.83 : 3,459.24 = 1,669.03 : x
  2. Step 2: Convert to fraction form
    2,509.83/3,459.24 = 1,669.03/x
  3. Step 3: Cross multiply
    2,509.83x = 3,459.24 × 1,669.03
  4. Step 4: Simplify right side
    2,509.83x = 5,773,561.99
  5. Step 5: Solve for x
    x = 5,773,561.99/2,509.83
  6. Step 6: Final answer
    x = 2,300.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.