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Finding the Fourth Proportional to 1,355.19, 2,032.55 and 381.06

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Solution

The fourth proportional to 1,355.19, 2,032.55 and 381.06 is: 571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.19 : 2,032.55 = 381.06 : x
  2. Step 2: Convert to fraction form
    1,355.19/2,032.55 = 381.06/x
  3. Step 3: Cross multiply
    1,355.19x = 2,032.55 × 381.06
  4. Step 4: Simplify right side
    1,355.19x = 774,529.54
  5. Step 5: Solve for x
    x = 774,529.54/1,355.19
  6. Step 6: Final answer
    x = 571.53

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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.