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Finding the Fourth Proportional to 2,370.25, 3,555.38 and 831.25

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Solution

The fourth proportional to 2,370.25, 3,555.38 and 831.25 is: 1,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.25 : 3,555.38 = 831.25 : x
  2. Step 2: Convert to fraction form
    2,370.25/3,555.38 = 831.25/x
  3. Step 3: Cross multiply
    2,370.25x = 3,555.38 × 831.25
  4. Step 4: Simplify right side
    2,370.25x = 2,955,409.63
  5. Step 5: Solve for x
    x = 2,955,409.63/2,370.25
  6. Step 6: Final answer
    x = 1,246.88

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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.