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Finding the Fourth Proportional to 1,945.42, 2,684.73 and 1,061.25

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Solution

The fourth proportional to 1,945.42, 2,684.73 and 1,061.25 is: 1,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.42 : 2,684.73 = 1,061.25 : x
  2. Step 2: Convert to fraction form
    1,945.42/2,684.73 = 1,061.25/x
  3. Step 3: Cross multiply
    1,945.42x = 2,684.73 × 1,061.25
  4. Step 4: Simplify right side
    1,945.42x = 2,849,169.71
  5. Step 5: Solve for x
    x = 2,849,169.71/1,945.42
  6. Step 6: Final answer
    x = 1,464.55

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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.