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Finding the Fourth Proportional to 2,706.79, 3,735.54 and 1,587.32

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Solution

The fourth proportional to 2,706.79, 3,735.54 and 1,587.32 is: 2,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.79 : 3,735.54 = 1,587.32 : x
  2. Step 2: Convert to fraction form
    2,706.79/3,735.54 = 1,587.32/x
  3. Step 3: Cross multiply
    2,706.79x = 3,735.54 × 1,587.32
  4. Step 4: Simplify right side
    2,706.79x = 5,929,497.35
  5. Step 5: Solve for x
    x = 5,929,497.35/2,706.79
  6. Step 6: Final answer
    x = 2,190.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.