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Finding the Fourth Proportional to 2,841.93, 4,256.72 and 1,378

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Solution

The fourth proportional to 2,841.93, 4,256.72 and 1,378 is: 2,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.93 : 4,256.72 = 1,378 : x
  2. Step 2: Convert to fraction form
    2,841.93/4,256.72 = 1,378/x
  3. Step 3: Cross multiply
    2,841.93x = 4,256.72 × 1,378
  4. Step 4: Simplify right side
    2,841.93x = 5,865,760.16
  5. Step 5: Solve for x
    x = 5,865,760.16/2,841.93
  6. Step 6: Final answer
    x = 2,064.01

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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.