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Finding the Fourth Proportional to 4,603.66, 6,905.94 and 1,829.71

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Solution

The fourth proportional to 4,603.66, 6,905.94 and 1,829.71 is: 2,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.66 : 6,905.94 = 1,829.71 : x
  2. Step 2: Convert to fraction form
    4,603.66/6,905.94 = 1,829.71/x
  3. Step 3: Cross multiply
    4,603.66x = 6,905.94 × 1,829.71
  4. Step 4: Simplify right side
    4,603.66x = 12,635,867.48
  5. Step 5: Solve for x
    x = 12,635,867.48/4,603.66
  6. Step 6: Final answer
    x = 2,744.74

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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.