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Finding the Fourth Proportional to 2,142.76, 2,950.02 and 1,831.72

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Solution

The fourth proportional to 2,142.76, 2,950.02 and 1,831.72 is: 2,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.76 : 2,950.02 = 1,831.72 : x
  2. Step 2: Convert to fraction form
    2,142.76/2,950.02 = 1,831.72/x
  3. Step 3: Cross multiply
    2,142.76x = 2,950.02 × 1,831.72
  4. Step 4: Simplify right side
    2,142.76x = 5,403,610.63
  5. Step 5: Solve for x
    x = 5,403,610.63/2,142.76
  6. Step 6: Final answer
    x = 2,521.80

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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.