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Finding the Fourth Proportional to 1,452.90, 2,003.06 and 1,155.14

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Solution

The fourth proportional to 1,452.90, 2,003.06 and 1,155.14 is: 1,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.90 : 2,003.06 = 1,155.14 : x
  2. Step 2: Convert to fraction form
    1,452.90/2,003.06 = 1,155.14/x
  3. Step 3: Cross multiply
    1,452.90x = 2,003.06 × 1,155.14
  4. Step 4: Simplify right side
    1,452.90x = 2,313,804.71
  5. Step 5: Solve for x
    x = 2,313,804.71/1,452.90
  6. Step 6: Final answer
    x = 1,592.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.