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Finding the Fourth Proportional to 3,164.61, 4,746.87 and 1,706.61

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Solution

The fourth proportional to 3,164.61, 4,746.87 and 1,706.61 is: 2,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.61 : 4,746.87 = 1,706.61 : x
  2. Step 2: Convert to fraction form
    3,164.61/4,746.87 = 1,706.61/x
  3. Step 3: Cross multiply
    3,164.61x = 4,746.87 × 1,706.61
  4. Step 4: Simplify right side
    3,164.61x = 8,101,055.81
  5. Step 5: Solve for x
    x = 8,101,055.81/3,164.61
  6. Step 6: Final answer
    x = 2,559.89

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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.