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Finding the Fourth Proportional to 1,709.89, 2,562.47 and 977.92

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Solution

The fourth proportional to 1,709.89, 2,562.47 and 977.92 is: 1,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.89 : 2,562.47 = 977.92 : x
  2. Step 2: Convert to fraction form
    1,709.89/2,562.47 = 977.92/x
  3. Step 3: Cross multiply
    1,709.89x = 2,562.47 × 977.92
  4. Step 4: Simplify right side
    1,709.89x = 2,505,890.66
  5. Step 5: Solve for x
    x = 2,505,890.66/1,709.89
  6. Step 6: Final answer
    x = 1,465.53

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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.