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Finding the Fourth Proportional to 4,172, 6,255.57 and 1,831.91

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Solution

The fourth proportional to 4,172, 6,255.57 and 1,831.91 is: 2,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172 : 6,255.57 = 1,831.91 : x
  2. Step 2: Convert to fraction form
    4,172/6,255.57 = 1,831.91/x
  3. Step 3: Cross multiply
    4,172x = 6,255.57 × 1,831.91
  4. Step 4: Simplify right side
    4,172x = 11,459,641.24
  5. Step 5: Solve for x
    x = 11,459,641.24/4,172
  6. Step 6: Final answer
    x = 2,746.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.