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Finding the Fourth Proportional to 2,648.91, 3,652.56 and 1,809.75

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Solution

The fourth proportional to 2,648.91, 3,652.56 and 1,809.75 is: 2,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.91 : 3,652.56 = 1,809.75 : x
  2. Step 2: Convert to fraction form
    2,648.91/3,652.56 = 1,809.75/x
  3. Step 3: Cross multiply
    2,648.91x = 3,652.56 × 1,809.75
  4. Step 4: Simplify right side
    2,648.91x = 6,610,220.46
  5. Step 5: Solve for x
    x = 6,610,220.46/2,648.91
  6. Step 6: Final answer
    x = 2,495.45

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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.