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Finding the Fourth Proportional to 2,686.32, 3,707.52 and 1,638.99

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Solution

The fourth proportional to 2,686.32, 3,707.52 and 1,638.99 is: 2,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.32 : 3,707.52 = 1,638.99 : x
  2. Step 2: Convert to fraction form
    2,686.32/3,707.52 = 1,638.99/x
  3. Step 3: Cross multiply
    2,686.32x = 3,707.52 × 1,638.99
  4. Step 4: Simplify right side
    2,686.32x = 6,076,588.20
  5. Step 5: Solve for x
    x = 6,076,588.20/2,686.32
  6. Step 6: Final answer
    x = 2,262.05

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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.