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Finding the Fourth Proportional to 4,602.96, 6,899.76 and 1,831.59

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Solution

The fourth proportional to 4,602.96, 6,899.76 and 1,831.59 is: 2,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.96 : 6,899.76 = 1,831.59 : x
  2. Step 2: Convert to fraction form
    4,602.96/6,899.76 = 1,831.59/x
  3. Step 3: Cross multiply
    4,602.96x = 6,899.76 × 1,831.59
  4. Step 4: Simplify right side
    4,602.96x = 12,637,531.42
  5. Step 5: Solve for x
    x = 12,637,531.42/4,602.96
  6. Step 6: Final answer
    x = 2,745.52

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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.