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Finding the Fourth Proportional to 2,177.46, 3,266.64 and 944.64

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Solution

The fourth proportional to 2,177.46, 3,266.64 and 944.64 is: 1,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.46 : 3,266.64 = 944.64 : x
  2. Step 2: Convert to fraction form
    2,177.46/3,266.64 = 944.64/x
  3. Step 3: Cross multiply
    2,177.46x = 3,266.64 × 944.64
  4. Step 4: Simplify right side
    2,177.46x = 3,085,798.81
  5. Step 5: Solve for x
    x = 3,085,798.81/2,177.46
  6. Step 6: Final answer
    x = 1,417.16

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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.