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Finding the Fourth Proportional to 2,001.77, 2,989.02 and 1,792.18

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Solution

The fourth proportional to 2,001.77, 2,989.02 and 1,792.18 is: 2,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.77 : 2,989.02 = 1,792.18 : x
  2. Step 2: Convert to fraction form
    2,001.77/2,989.02 = 1,792.18/x
  3. Step 3: Cross multiply
    2,001.77x = 2,989.02 × 1,792.18
  4. Step 4: Simplify right side
    2,001.77x = 5,356,861.86
  5. Step 5: Solve for x
    x = 5,356,861.86/2,001.77
  6. Step 6: Final answer
    x = 2,676.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.