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Finding the Fourth Proportional to 3,157.70, 4,357.04 and 1,831.16

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Solution

The fourth proportional to 3,157.70, 4,357.04 and 1,831.16 is: 2,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.70 : 4,357.04 = 1,831.16 : x
  2. Step 2: Convert to fraction form
    3,157.70/4,357.04 = 1,831.16/x
  3. Step 3: Cross multiply
    3,157.70x = 4,357.04 × 1,831.16
  4. Step 4: Simplify right side
    3,157.70x = 7,978,437.37
  5. Step 5: Solve for x
    x = 7,978,437.37/3,157.70
  6. Step 6: Final answer
    x = 2,526.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.