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Finding the Fourth Proportional to 2,706.35, 4,060.01 and 857.93

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Solution

The fourth proportional to 2,706.35, 4,060.01 and 857.93 is: 1,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.35 : 4,060.01 = 857.93 : x
  2. Step 2: Convert to fraction form
    2,706.35/4,060.01 = 857.93/x
  3. Step 3: Cross multiply
    2,706.35x = 4,060.01 × 857.93
  4. Step 4: Simplify right side
    2,706.35x = 3,483,186.22
  5. Step 5: Solve for x
    x = 3,483,186.22/2,706.35
  6. Step 6: Final answer
    x = 1,287.04

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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.