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Finding the Fourth Proportional to 2,338.02, 3,507.51 and 777.93

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Solution

The fourth proportional to 2,338.02, 3,507.51 and 777.93 is: 1,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.02 : 3,507.51 = 777.93 : x
  2. Step 2: Convert to fraction form
    2,338.02/3,507.51 = 777.93/x
  3. Step 3: Cross multiply
    2,338.02x = 3,507.51 × 777.93
  4. Step 4: Simplify right side
    2,338.02x = 2,728,597.25
  5. Step 5: Solve for x
    x = 2,728,597.25/2,338.02
  6. Step 6: Final answer
    x = 1,167.05

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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.