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Finding the Fourth Proportional to 2,293.13, 3,437.64 and 831.26

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Solution

The fourth proportional to 2,293.13, 3,437.64 and 831.26 is: 1,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.13 : 3,437.64 = 831.26 : x
  2. Step 2: Convert to fraction form
    2,293.13/3,437.64 = 831.26/x
  3. Step 3: Cross multiply
    2,293.13x = 3,437.64 × 831.26
  4. Step 4: Simplify right side
    2,293.13x = 2,857,572.63
  5. Step 5: Solve for x
    x = 2,857,572.63/2,293.13
  6. Step 6: Final answer
    x = 1,246.15

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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.