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Finding the Fourth Proportional to 2,381.68, 3,570.04 and 1,454.76

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Solution

The fourth proportional to 2,381.68, 3,570.04 and 1,454.76 is: 2,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.68 : 3,570.04 = 1,454.76 : x
  2. Step 2: Convert to fraction form
    2,381.68/3,570.04 = 1,454.76/x
  3. Step 3: Cross multiply
    2,381.68x = 3,570.04 × 1,454.76
  4. Step 4: Simplify right side
    2,381.68x = 5,193,551.39
  5. Step 5: Solve for x
    x = 5,193,551.39/2,381.68
  6. Step 6: Final answer
    x = 2,180.63

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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.