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Finding the Fourth Proportional to 1,433.80, 2,140.25 and 1,261

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Solution

The fourth proportional to 1,433.80, 2,140.25 and 1,261 is: 1,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.80 : 2,140.25 = 1,261 : x
  2. Step 2: Convert to fraction form
    1,433.80/2,140.25 = 1,261/x
  3. Step 3: Cross multiply
    1,433.80x = 2,140.25 × 1,261
  4. Step 4: Simplify right side
    1,433.80x = 2,698,855.25
  5. Step 5: Solve for x
    x = 2,698,855.25/1,433.80
  6. Step 6: Final answer
    x = 1,882.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.