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Finding the Fourth Proportional to 2,656.37, 3,984.01 and 1,487.54

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Solution

The fourth proportional to 2,656.37, 3,984.01 and 1,487.54 is: 2,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.37 : 3,984.01 = 1,487.54 : x
  2. Step 2: Convert to fraction form
    2,656.37/3,984.01 = 1,487.54/x
  3. Step 3: Cross multiply
    2,656.37x = 3,984.01 × 1,487.54
  4. Step 4: Simplify right side
    2,656.37x = 5,926,374.24
  5. Step 5: Solve for x
    x = 5,926,374.24/2,656.37
  6. Step 6: Final answer
    x = 2,231.00

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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.