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Finding the Fourth Proportional to 2,900.94, 4,351.35 and 709.56

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Solution

The fourth proportional to 2,900.94, 4,351.35 and 709.56 is: 1,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.94 : 4,351.35 = 709.56 : x
  2. Step 2: Convert to fraction form
    2,900.94/4,351.35 = 709.56/x
  3. Step 3: Cross multiply
    2,900.94x = 4,351.35 × 709.56
  4. Step 4: Simplify right side
    2,900.94x = 3,087,543.91
  5. Step 5: Solve for x
    x = 3,087,543.91/2,900.94
  6. Step 6: Final answer
    x = 1,064.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.