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Finding the Fourth Proportional to 1,475.81, 2,034.44 and 944.64

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Solution

The fourth proportional to 1,475.81, 2,034.44 and 944.64 is: 1,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.81 : 2,034.44 = 944.64 : x
  2. Step 2: Convert to fraction form
    1,475.81/2,034.44 = 944.64/x
  3. Step 3: Cross multiply
    1,475.81x = 2,034.44 × 944.64
  4. Step 4: Simplify right side
    1,475.81x = 1,921,813.40
  5. Step 5: Solve for x
    x = 1,921,813.40/1,475.81
  6. Step 6: Final answer
    x = 1,302.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.