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Finding the Fourth Proportional to 1,831.90, 2,529.19 and 1,203.55

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Solution

The fourth proportional to 1,831.90, 2,529.19 and 1,203.55 is: 1,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.90 : 2,529.19 = 1,203.55 : x
  2. Step 2: Convert to fraction form
    1,831.90/2,529.19 = 1,203.55/x
  3. Step 3: Cross multiply
    1,831.90x = 2,529.19 × 1,203.55
  4. Step 4: Simplify right side
    1,831.90x = 3,044,006.62
  5. Step 5: Solve for x
    x = 3,044,006.62/1,831.90
  6. Step 6: Final answer
    x = 1,661.67

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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.