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Finding the Fourth Proportional to 1,831.26, 2,529.03 and 1,567.74

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Solution

The fourth proportional to 1,831.26, 2,529.03 and 1,567.74 is: 2,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.26 : 2,529.03 = 1,567.74 : x
  2. Step 2: Convert to fraction form
    1,831.26/2,529.03 = 1,567.74/x
  3. Step 3: Cross multiply
    1,831.26x = 2,529.03 × 1,567.74
  4. Step 4: Simplify right side
    1,831.26x = 3,964,861.49
  5. Step 5: Solve for x
    x = 3,964,861.49/1,831.26
  6. Step 6: Final answer
    x = 2,165.10

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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.