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Finding the Fourth Proportional to 1,451.63, 2,002.48 and 919.57

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Solution

The fourth proportional to 1,451.63, 2,002.48 and 919.57 is: 1,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.63 : 2,002.48 = 919.57 : x
  2. Step 2: Convert to fraction form
    1,451.63/2,002.48 = 919.57/x
  3. Step 3: Cross multiply
    1,451.63x = 2,002.48 × 919.57
  4. Step 4: Simplify right side
    1,451.63x = 1,841,421.85
  5. Step 5: Solve for x
    x = 1,841,421.85/1,451.63
  6. Step 6: Final answer
    x = 1,268.52

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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.