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Finding the Fourth Proportional to 1,357.75, 2,037.99 and 917.59

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Solution

The fourth proportional to 1,357.75, 2,037.99 and 917.59 is: 1,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.75 : 2,037.99 = 917.59 : x
  2. Step 2: Convert to fraction form
    1,357.75/2,037.99 = 917.59/x
  3. Step 3: Cross multiply
    1,357.75x = 2,037.99 × 917.59
  4. Step 4: Simplify right side
    1,357.75x = 1,870,039.24
  5. Step 5: Solve for x
    x = 1,870,039.24/1,357.75
  6. Step 6: Final answer
    x = 1,377.31

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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.