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Finding the Fourth Proportional to 1,715.74, 2,573.70 and 849.76

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Solution

The fourth proportional to 1,715.74, 2,573.70 and 849.76 is: 1,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.74 : 2,573.70 = 849.76 : x
  2. Step 2: Convert to fraction form
    1,715.74/2,573.70 = 849.76/x
  3. Step 3: Cross multiply
    1,715.74x = 2,573.70 × 849.76
  4. Step 4: Simplify right side
    1,715.74x = 2,187,027.31
  5. Step 5: Solve for x
    x = 2,187,027.31/1,715.74
  6. Step 6: Final answer
    x = 1,274.68

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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.