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Finding the Fourth Proportional to 1,578.96, 2,365.00 and 1,535.36

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Solution

The fourth proportional to 1,578.96, 2,365.00 and 1,535.36 is: 2,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.96 : 2,365.00 = 1,535.36 : x
  2. Step 2: Convert to fraction form
    1,578.96/2,365.00 = 1,535.36/x
  3. Step 3: Cross multiply
    1,578.96x = 2,365.00 × 1,535.36
  4. Step 4: Simplify right side
    1,578.96x = 3,631,110.74
  5. Step 5: Solve for x
    x = 3,631,110.74/1,578.96
  6. Step 6: Final answer
    x = 2,299.69

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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.