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Finding the Fourth Proportional to 2,706, 4,059.72 and 1,146.07

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Solution

The fourth proportional to 2,706, 4,059.72 and 1,146.07 is: 1,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706 : 4,059.72 = 1,146.07 : x
  2. Step 2: Convert to fraction form
    2,706/4,059.72 = 1,146.07/x
  3. Step 3: Cross multiply
    2,706x = 4,059.72 × 1,146.07
  4. Step 4: Simplify right side
    2,706x = 4,652,697.27
  5. Step 5: Solve for x
    x = 4,652,697.27/2,706
  6. Step 6: Final answer
    x = 1,719.40

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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.