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Finding the Fourth Proportional to 1,743.23, 2,405.61 and 946.52

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Solution

The fourth proportional to 1,743.23, 2,405.61 and 946.52 is: 1,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.23 : 2,405.61 = 946.52 : x
  2. Step 2: Convert to fraction form
    1,743.23/2,405.61 = 946.52/x
  3. Step 3: Cross multiply
    1,743.23x = 2,405.61 × 946.52
  4. Step 4: Simplify right side
    1,743.23x = 2,276,952.31
  5. Step 5: Solve for x
    x = 2,276,952.31/1,743.23
  6. Step 6: Final answer
    x = 1,306.17

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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.