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Finding the Fourth Proportional to 1,878.66, 2,817.57 and 708.79

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Solution

The fourth proportional to 1,878.66, 2,817.57 and 708.79 is: 1,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.66 : 2,817.57 = 708.79 : x
  2. Step 2: Convert to fraction form
    1,878.66/2,817.57 = 708.79/x
  3. Step 3: Cross multiply
    1,878.66x = 2,817.57 × 708.79
  4. Step 4: Simplify right side
    1,878.66x = 1,997,056.89
  5. Step 5: Solve for x
    x = 1,997,056.89/1,878.66
  6. Step 6: Final answer
    x = 1,063.02

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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.