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Finding the Fourth Proportional to 2,706.63, 4,060.36 and 1,146.64

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Solution

The fourth proportional to 2,706.63, 4,060.36 and 1,146.64 is: 1,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.63 : 4,060.36 = 1,146.64 : x
  2. Step 2: Convert to fraction form
    2,706.63/4,060.36 = 1,146.64/x
  3. Step 3: Cross multiply
    2,706.63x = 4,060.36 × 1,146.64
  4. Step 4: Simplify right side
    2,706.63x = 4,655,750.89
  5. Step 5: Solve for x
    x = 4,655,750.89/2,706.63
  6. Step 6: Final answer
    x = 1,720.13

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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.