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Finding the Fourth Proportional to 2,000.66, 2,986.16 and 1,877.54

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Solution

The fourth proportional to 2,000.66, 2,986.16 and 1,877.54 is: 2,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.66 : 2,986.16 = 1,877.54 : x
  2. Step 2: Convert to fraction form
    2,000.66/2,986.16 = 1,877.54/x
  3. Step 3: Cross multiply
    2,000.66x = 2,986.16 × 1,877.54
  4. Step 4: Simplify right side
    2,000.66x = 5,606,634.85
  5. Step 5: Solve for x
    x = 5,606,634.85/2,000.66
  6. Step 6: Final answer
    x = 2,802.39

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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.