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Finding the Fourth Proportional to 2,705.56, 4,058.93 and 831.45

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Solution

The fourth proportional to 2,705.56, 4,058.93 and 831.45 is: 1,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.56 : 4,058.93 = 831.45 : x
  2. Step 2: Convert to fraction form
    2,705.56/4,058.93 = 831.45/x
  3. Step 3: Cross multiply
    2,705.56x = 4,058.93 × 831.45
  4. Step 4: Simplify right side
    2,705.56x = 3,374,797.35
  5. Step 5: Solve for x
    x = 3,374,797.35/2,705.56
  6. Step 6: Final answer
    x = 1,247.36

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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.