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Finding the Fourth Proportional to 1,831.71, 2,521.42 and 1,598.43

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Solution

The fourth proportional to 1,831.71, 2,521.42 and 1,598.43 is: 2,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.71 : 2,521.42 = 1,598.43 : x
  2. Step 2: Convert to fraction form
    1,831.71/2,521.42 = 1,598.43/x
  3. Step 3: Cross multiply
    1,831.71x = 2,521.42 × 1,598.43
  4. Step 4: Simplify right side
    1,831.71x = 4,030,313.37
  5. Step 5: Solve for x
    x = 4,030,313.37/1,831.71
  6. Step 6: Final answer
    x = 2,200.30

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