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Finding the Fourth Proportional to 2,746.02, 3,789.36 and 1,567.02

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Solution

The fourth proportional to 2,746.02, 3,789.36 and 1,567.02 is: 2,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.02 : 3,789.36 = 1,567.02 : x
  2. Step 2: Convert to fraction form
    2,746.02/3,789.36 = 1,567.02/x
  3. Step 3: Cross multiply
    2,746.02x = 3,789.36 × 1,567.02
  4. Step 4: Simplify right side
    2,746.02x = 5,938,002.91
  5. Step 5: Solve for x
    x = 5,938,002.91/2,746.02
  6. Step 6: Final answer
    x = 2,162.40

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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.