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Finding the Fourth Proportional to 2,393.04, 3,587 and 1,706.96

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Solution

The fourth proportional to 2,393.04, 3,587 and 1,706.96 is: 2,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.04 : 3,587 = 1,706.96 : x
  2. Step 2: Convert to fraction form
    2,393.04/3,587 = 1,706.96/x
  3. Step 3: Cross multiply
    2,393.04x = 3,587 × 1,706.96
  4. Step 4: Simplify right side
    2,393.04x = 6,122,865.52
  5. Step 5: Solve for x
    x = 6,122,865.52/2,393.04
  6. Step 6: Final answer
    x = 2,558.61

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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.