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Finding the Fourth Proportional to 3,047.60, 4,208.02 and 2,678.96

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Solution

The fourth proportional to 3,047.60, 4,208.02 and 2,678.96 is: 3,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.60 : 4,208.02 = 2,678.96 : x
  2. Step 2: Convert to fraction form
    3,047.60/4,208.02 = 2,678.96/x
  3. Step 3: Cross multiply
    3,047.60x = 4,208.02 × 2,678.96
  4. Step 4: Simplify right side
    3,047.60x = 11,273,117.26
  5. Step 5: Solve for x
    x = 11,273,117.26/3,047.60
  6. Step 6: Final answer
    x = 3,699.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.