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Finding the Fourth Proportional to 2,774.13, 4,164.04 and 2,164.50

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Solution

The fourth proportional to 2,774.13, 4,164.04 and 2,164.50 is: 3,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.13 : 4,164.04 = 2,164.50 : x
  2. Step 2: Convert to fraction form
    2,774.13/4,164.04 = 2,164.50/x
  3. Step 3: Cross multiply
    2,774.13x = 4,164.04 × 2,164.50
  4. Step 4: Simplify right side
    2,774.13x = 9,013,038.35
  5. Step 5: Solve for x
    x = 9,013,038.35/2,774.13
  6. Step 6: Final answer
    x = 3,248.97

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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.