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Finding the Fourth Proportional to 2,362.51, 3,544.67 and 901.32

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Solution

The fourth proportional to 2,362.51, 3,544.67 and 901.32 is: 1,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.51 : 3,544.67 = 901.32 : x
  2. Step 2: Convert to fraction form
    2,362.51/3,544.67 = 901.32/x
  3. Step 3: Cross multiply
    2,362.51x = 3,544.67 × 901.32
  4. Step 4: Simplify right side
    2,362.51x = 3,194,884.22
  5. Step 5: Solve for x
    x = 3,194,884.22/2,362.51
  6. Step 6: Final answer
    x = 1,352.33

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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.