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Finding the Fourth Proportional to 2,969.01, 4,094.76 and 2,224.74

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Solution

The fourth proportional to 2,969.01, 4,094.76 and 2,224.74 is: 3,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.01 : 4,094.76 = 2,224.74 : x
  2. Step 2: Convert to fraction form
    2,969.01/4,094.76 = 2,224.74/x
  3. Step 3: Cross multiply
    2,969.01x = 4,094.76 × 2,224.74
  4. Step 4: Simplify right side
    2,969.01x = 9,109,776.36
  5. Step 5: Solve for x
    x = 9,109,776.36/2,969.01
  6. Step 6: Final answer
    x = 3,068.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.