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Finding the Fourth Proportional to 1,757.51, 2,634.87 and 977.78

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Solution

The fourth proportional to 1,757.51, 2,634.87 and 977.78 is: 1,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.51 : 2,634.87 = 977.78 : x
  2. Step 2: Convert to fraction form
    1,757.51/2,634.87 = 977.78/x
  3. Step 3: Cross multiply
    1,757.51x = 2,634.87 × 977.78
  4. Step 4: Simplify right side
    1,757.51x = 2,576,323.19
  5. Step 5: Solve for x
    x = 2,576,323.19/1,757.51
  6. Step 6: Final answer
    x = 1,465.89

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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.