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Finding the Fourth Proportional to 2,966.15, 4,447.72 and 991.07

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Solution

The fourth proportional to 2,966.15, 4,447.72 and 991.07 is: 1,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.15 : 4,447.72 = 991.07 : x
  2. Step 2: Convert to fraction form
    2,966.15/4,447.72 = 991.07/x
  3. Step 3: Cross multiply
    2,966.15x = 4,447.72 × 991.07
  4. Step 4: Simplify right side
    2,966.15x = 4,408,001.86
  5. Step 5: Solve for x
    x = 4,408,001.86/2,966.15
  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.