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Finding the Fourth Proportional to 2,280.96, 3,421.55 and 637.60

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Solution

The fourth proportional to 2,280.96, 3,421.55 and 637.60 is: 956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.96 : 3,421.55 = 637.60 : x
  2. Step 2: Convert to fraction form
    2,280.96/3,421.55 = 637.60/x
  3. Step 3: Cross multiply
    2,280.96x = 3,421.55 × 637.60
  4. Step 4: Simplify right side
    2,280.96x = 2,181,580.28
  5. Step 5: Solve for x
    x = 2,181,580.28/2,280.96
  6. Step 6: Final answer
    x = 956.43

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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.