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Finding the Fourth Proportional to 3,141.46, 4,708.90 and 1,060.75

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Solution

The fourth proportional to 3,141.46, 4,708.90 and 1,060.75 is: 1,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.46 : 4,708.90 = 1,060.75 : x
  2. Step 2: Convert to fraction form
    3,141.46/4,708.90 = 1,060.75/x
  3. Step 3: Cross multiply
    3,141.46x = 4,708.90 × 1,060.75
  4. Step 4: Simplify right side
    3,141.46x = 4,994,965.68
  5. Step 5: Solve for x
    x = 4,994,965.68/3,141.46
  6. Step 6: Final answer
    x = 1,590.01

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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.