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Finding the Fourth Proportional to 2,000.02, 2,998 and 1,132.51

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Solution

The fourth proportional to 2,000.02, 2,998 and 1,132.51 is: 1,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.02 : 2,998 = 1,132.51 : x
  2. Step 2: Convert to fraction form
    2,000.02/2,998 = 1,132.51/x
  3. Step 3: Cross multiply
    2,000.02x = 2,998 × 1,132.51
  4. Step 4: Simplify right side
    2,000.02x = 3,395,264.98
  5. Step 5: Solve for x
    x = 3,395,264.98/2,000.02
  6. Step 6: Final answer
    x = 1,697.62

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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.