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Finding the Fourth Proportional to 2,637.54, 3,641.49 and 1,853.46

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Solution

The fourth proportional to 2,637.54, 3,641.49 and 1,853.46 is: 2,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.54 : 3,641.49 = 1,853.46 : x
  2. Step 2: Convert to fraction form
    2,637.54/3,641.49 = 1,853.46/x
  3. Step 3: Cross multiply
    2,637.54x = 3,641.49 × 1,853.46
  4. Step 4: Simplify right side
    2,637.54x = 6,749,356.06
  5. Step 5: Solve for x
    x = 6,749,356.06/2,637.54
  6. Step 6: Final answer
    x = 2,558.96

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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.