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Finding the Fourth Proportional to 2,606.49, 3,902.85 and 1,827.45

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Solution

The fourth proportional to 2,606.49, 3,902.85 and 1,827.45 is: 2,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.49 : 3,902.85 = 1,827.45 : x
  2. Step 2: Convert to fraction form
    2,606.49/3,902.85 = 1,827.45/x
  3. Step 3: Cross multiply
    2,606.49x = 3,902.85 × 1,827.45
  4. Step 4: Simplify right side
    2,606.49x = 7,132,263.23
  5. Step 5: Solve for x
    x = 7,132,263.23/2,606.49
  6. Step 6: Final answer
    x = 2,736.35

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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.