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Finding the Fourth Proportional to 1,572.78, 2,355.75 and 1,023.33

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Solution

The fourth proportional to 1,572.78, 2,355.75 and 1,023.33 is: 1,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.78 : 2,355.75 = 1,023.33 : x
  2. Step 2: Convert to fraction form
    1,572.78/2,355.75 = 1,023.33/x
  3. Step 3: Cross multiply
    1,572.78x = 2,355.75 × 1,023.33
  4. Step 4: Simplify right side
    1,572.78x = 2,410,709.65
  5. Step 5: Solve for x
    x = 2,410,709.65/1,572.78
  6. Step 6: Final answer
    x = 1,532.77

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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.