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Finding the Fourth Proportional to 2,242.95, 3,365.63 and 944.38

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Solution

The fourth proportional to 2,242.95, 3,365.63 and 944.38 is: 1,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.95 : 3,365.63 = 944.38 : x
  2. Step 2: Convert to fraction form
    2,242.95/3,365.63 = 944.38/x
  3. Step 3: Cross multiply
    2,242.95x = 3,365.63 × 944.38
  4. Step 4: Simplify right side
    2,242.95x = 3,178,433.66
  5. Step 5: Solve for x
    x = 3,178,433.66/2,242.95
  6. Step 6: Final answer
    x = 1,417.08

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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.