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Finding the Fourth Proportional to 2,365.52, 3,257.64 and 2,316.56

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Solution

The fourth proportional to 2,365.52, 3,257.64 and 2,316.56 is: 3,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.52 : 3,257.64 = 2,316.56 : x
  2. Step 2: Convert to fraction form
    2,365.52/3,257.64 = 2,316.56/x
  3. Step 3: Cross multiply
    2,365.52x = 3,257.64 × 2,316.56
  4. Step 4: Simplify right side
    2,365.52x = 7,546,518.52
  5. Step 5: Solve for x
    x = 7,546,518.52/2,365.52
  6. Step 6: Final answer
    x = 3,190.22

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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.