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Finding the Fourth Proportional to 2,599.99, 3,897.75 and 1,775.81

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Solution

The fourth proportional to 2,599.99, 3,897.75 and 1,775.81 is: 2,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.99 : 3,897.75 = 1,775.81 : x
  2. Step 2: Convert to fraction form
    2,599.99/3,897.75 = 1,775.81/x
  3. Step 3: Cross multiply
    2,599.99x = 3,897.75 × 1,775.81
  4. Step 4: Simplify right side
    2,599.99x = 6,921,663.43
  5. Step 5: Solve for x
    x = 6,921,663.43/2,599.99
  6. Step 6: Final answer
    x = 2,662.19

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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.