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Finding the Fourth Proportional to 3,070.84, 4,606.26 and 1,338.25

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Solution

The fourth proportional to 3,070.84, 4,606.26 and 1,338.25 is: 2,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.84 : 4,606.26 = 1,338.25 : x
  2. Step 2: Convert to fraction form
    3,070.84/4,606.26 = 1,338.25/x
  3. Step 3: Cross multiply
    3,070.84x = 4,606.26 × 1,338.25
  4. Step 4: Simplify right side
    3,070.84x = 6,164,327.45
  5. Step 5: Solve for x
    x = 6,164,327.45/3,070.84
  6. Step 6: Final answer
    x = 2,007.38

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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.