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Finding the Fourth Proportional to 2,706.64, 4,051.68 and 1,733.68

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Solution

The fourth proportional to 2,706.64, 4,051.68 and 1,733.68 is: 2,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.64 : 4,051.68 = 1,733.68 : x
  2. Step 2: Convert to fraction form
    2,706.64/4,051.68 = 1,733.68/x
  3. Step 3: Cross multiply
    2,706.64x = 4,051.68 × 1,733.68
  4. Step 4: Simplify right side
    2,706.64x = 7,024,316.58
  5. Step 5: Solve for x
    x = 7,024,316.58/2,706.64
  6. Step 6: Final answer
    x = 2,595.22

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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.