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Finding the Fourth Proportional to 3,128.09, 4,690.42 and 1,047

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Solution

The fourth proportional to 3,128.09, 4,690.42 and 1,047 is: 1,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.09 : 4,690.42 = 1,047 : x
  2. Step 2: Convert to fraction form
    3,128.09/4,690.42 = 1,047/x
  3. Step 3: Cross multiply
    3,128.09x = 4,690.42 × 1,047
  4. Step 4: Simplify right side
    3,128.09x = 4,910,867.12
  5. Step 5: Solve for x
    x = 4,910,867.12/3,128.09
  6. Step 6: Final answer
    x = 1,569.92

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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.