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Finding the Fourth Proportional to 2,278.37, 3,417.95 and 944.16

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Solution

The fourth proportional to 2,278.37, 3,417.95 and 944.16 is: 1,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.37 : 3,417.95 = 944.16 : x
  2. Step 2: Convert to fraction form
    2,278.37/3,417.95 = 944.16/x
  3. Step 3: Cross multiply
    2,278.37x = 3,417.95 × 944.16
  4. Step 4: Simplify right side
    2,278.37x = 3,227,086.95
  5. Step 5: Solve for x
    x = 3,227,086.95/2,278.37
  6. Step 6: Final answer
    x = 1,416.40

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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.