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Finding the Fourth Proportional to 1,334.90, 1,842.66 and 1,147.64

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Solution

The fourth proportional to 1,334.90, 1,842.66 and 1,147.64 is: 1,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.90 : 1,842.66 = 1,147.64 : x
  2. Step 2: Convert to fraction form
    1,334.90/1,842.66 = 1,147.64/x
  3. Step 3: Cross multiply
    1,334.90x = 1,842.66 × 1,147.64
  4. Step 4: Simplify right side
    1,334.90x = 2,114,710.32
  5. Step 5: Solve for x
    x = 2,114,710.32/1,334.90
  6. Step 6: Final answer
    x = 1,584.17

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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.