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Finding the Fourth Proportional to 2,656.97, 3,985.30 and 990.77

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Solution

The fourth proportional to 2,656.97, 3,985.30 and 990.77 is: 1,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.97 : 3,985.30 = 990.77 : x
  2. Step 2: Convert to fraction form
    2,656.97/3,985.30 = 990.77/x
  3. Step 3: Cross multiply
    2,656.97x = 3,985.30 × 990.77
  4. Step 4: Simplify right side
    2,656.97x = 3,948,519.41
  5. Step 5: Solve for x
    x = 3,948,519.41/2,656.97
  6. Step 6: Final answer
    x = 1,486.10

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1.5x scale

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.