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Finding the Fourth Proportional to 1,475.81, 2,037.46 and 979.13

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Solution

The fourth proportional to 1,475.81, 2,037.46 and 979.13 is: 1,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.81 : 2,037.46 = 979.13 : x
  2. Step 2: Convert to fraction form
    1,475.81/2,037.46 = 979.13/x
  3. Step 3: Cross multiply
    1,475.81x = 2,037.46 × 979.13
  4. Step 4: Simplify right side
    1,475.81x = 1,994,938.21
  5. Step 5: Solve for x
    x = 1,994,938.21/1,475.81
  6. Step 6: Final answer
    x = 1,351.76

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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.