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Finding the Fourth Proportional to 2,006.25, 3,009.48 and 690

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Solution

The fourth proportional to 2,006.25, 3,009.48 and 690 is: 1,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.25 : 3,009.48 = 690 : x
  2. Step 2: Convert to fraction form
    2,006.25/3,009.48 = 690/x
  3. Step 3: Cross multiply
    2,006.25x = 3,009.48 × 690
  4. Step 4: Simplify right side
    2,006.25x = 2,076,541.20
  5. Step 5: Solve for x
    x = 2,076,541.20/2,006.25
  6. Step 6: Final answer
    x = 1,035.04

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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.