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Finding the Fourth Proportional to 1,715.58, 2,572.46 and 1,099.58

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Solution

The fourth proportional to 1,715.58, 2,572.46 and 1,099.58 is: 1,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.58 : 2,572.46 = 1,099.58 : x
  2. Step 2: Convert to fraction form
    1,715.58/2,572.46 = 1,099.58/x
  3. Step 3: Cross multiply
    1,715.58x = 2,572.46 × 1,099.58
  4. Step 4: Simplify right side
    1,715.58x = 2,828,611.33
  5. Step 5: Solve for x
    x = 2,828,611.33/1,715.58
  6. Step 6: Final answer
    x = 1,648.78

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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.