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Finding the Fourth Proportional to 2,673.56, 3,689.70 and 1,742.06

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Solution

The fourth proportional to 2,673.56, 3,689.70 and 1,742.06 is: 2,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.56 : 3,689.70 = 1,742.06 : x
  2. Step 2: Convert to fraction form
    2,673.56/3,689.70 = 1,742.06/x
  3. Step 3: Cross multiply
    2,673.56x = 3,689.70 × 1,742.06
  4. Step 4: Simplify right side
    2,673.56x = 6,427,678.78
  5. Step 5: Solve for x
    x = 6,427,678.78/2,673.56
  6. Step 6: Final answer
    x = 2,404.16

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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.