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Finding the Fourth Proportional to 2,564.54, 3,537.05 and 1,856.48

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Solution

The fourth proportional to 2,564.54, 3,537.05 and 1,856.48 is: 2,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.54 : 3,537.05 = 1,856.48 : x
  2. Step 2: Convert to fraction form
    2,564.54/3,537.05 = 1,856.48/x
  3. Step 3: Cross multiply
    2,564.54x = 3,537.05 × 1,856.48
  4. Step 4: Simplify right side
    2,564.54x = 6,566,462.14
  5. Step 5: Solve for x
    x = 6,566,462.14/2,564.54
  6. Step 6: Final answer
    x = 2,560.49

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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.