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Finding the Fourth Proportional to 3,164.70, 4,368.69 and 2,325.54

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Solution

The fourth proportional to 3,164.70, 4,368.69 and 2,325.54 is: 3,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.70 : 4,368.69 = 2,325.54 : x
  2. Step 2: Convert to fraction form
    3,164.70/4,368.69 = 2,325.54/x
  3. Step 3: Cross multiply
    3,164.70x = 4,368.69 × 2,325.54
  4. Step 4: Simplify right side
    3,164.70x = 10,159,563.34
  5. Step 5: Solve for x
    x = 10,159,563.34/3,164.70
  6. Step 6: Final answer
    x = 3,210.28

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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.