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Finding the Fourth Proportional to 2,063.60, 3,095.55 and 831.02

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Solution

The fourth proportional to 2,063.60, 3,095.55 and 831.02 is: 1,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.60 : 3,095.55 = 831.02 : x
  2. Step 2: Convert to fraction form
    2,063.60/3,095.55 = 831.02/x
  3. Step 3: Cross multiply
    2,063.60x = 3,095.55 × 831.02
  4. Step 4: Simplify right side
    2,063.60x = 2,572,444.33
  5. Step 5: Solve for x
    x = 2,572,444.33/2,063.60
  6. Step 6: Final answer
    x = 1,246.58

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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.