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Finding the Fourth Proportional to 4,602.57, 6,899.95 and 1,831.20

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Solution

The fourth proportional to 4,602.57, 6,899.95 and 1,831.20 is: 2,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.57 : 6,899.95 = 1,831.20 : x
  2. Step 2: Convert to fraction form
    4,602.57/6,899.95 = 1,831.20/x
  3. Step 3: Cross multiply
    4,602.57x = 6,899.95 × 1,831.20
  4. Step 4: Simplify right side
    4,602.57x = 12,635,188.44
  5. Step 5: Solve for x
    x = 12,635,188.44/4,602.57
  6. Step 6: Final answer
    x = 2,745.25

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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.