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Finding the Fourth Proportional to 1,454.76, 2,004.75 and 1,190.16

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Solution

The fourth proportional to 1,454.76, 2,004.75 and 1,190.16 is: 1,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.76 : 2,004.75 = 1,190.16 : x
  2. Step 2: Convert to fraction form
    1,454.76/2,004.75 = 1,190.16/x
  3. Step 3: Cross multiply
    1,454.76x = 2,004.75 × 1,190.16
  4. Step 4: Simplify right side
    1,454.76x = 2,385,973.26
  5. Step 5: Solve for x
    x = 2,385,973.26/1,454.76
  6. Step 6: Final answer
    x = 1,640.11

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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.