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Finding the Fourth Proportional to 2,706.96, 4,060.16 and 1,607.84

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Solution

The fourth proportional to 2,706.96, 4,060.16 and 1,607.84 is: 2,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.96 : 4,060.16 = 1,607.84 : x
  2. Step 2: Convert to fraction form
    2,706.96/4,060.16 = 1,607.84/x
  3. Step 3: Cross multiply
    2,706.96x = 4,060.16 × 1,607.84
  4. Step 4: Simplify right side
    2,706.96x = 6,528,087.65
  5. Step 5: Solve for x
    x = 6,528,087.65/2,706.96
  6. Step 6: Final answer
    x = 2,411.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.