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Finding the Fourth Proportional to 1,595.99, 2,382.26 and 1,478.57

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Solution

The fourth proportional to 1,595.99, 2,382.26 and 1,478.57 is: 2,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.99 : 2,382.26 = 1,478.57 : x
  2. Step 2: Convert to fraction form
    1,595.99/2,382.26 = 1,478.57/x
  3. Step 3: Cross multiply
    1,595.99x = 2,382.26 × 1,478.57
  4. Step 4: Simplify right side
    1,595.99x = 3,522,338.17
  5. Step 5: Solve for x
    x = 3,522,338.17/1,595.99
  6. Step 6: Final answer
    x = 2,206.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.