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Finding the Fourth Proportional to 2,292.52, 3,437.25 and 831.48

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Solution

The fourth proportional to 2,292.52, 3,437.25 and 831.48 is: 1,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.52 : 3,437.25 = 831.48 : x
  2. Step 2: Convert to fraction form
    2,292.52/3,437.25 = 831.48/x
  3. Step 3: Cross multiply
    2,292.52x = 3,437.25 × 831.48
  4. Step 4: Simplify right side
    2,292.52x = 2,858,012.63
  5. Step 5: Solve for x
    x = 2,858,012.63/2,292.52
  6. Step 6: Final answer
    x = 1,246.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.