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Finding the Fourth Proportional to 2,241.08, 3,361.81 and 597.63

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Solution

The fourth proportional to 2,241.08, 3,361.81 and 597.63 is: 896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.08 : 3,361.81 = 597.63 : x
  2. Step 2: Convert to fraction form
    2,241.08/3,361.81 = 597.63/x
  3. Step 3: Cross multiply
    2,241.08x = 3,361.81 × 597.63
  4. Step 4: Simplify right side
    2,241.08x = 2,009,118.51
  5. Step 5: Solve for x
    x = 2,009,118.51/2,241.08
  6. Step 6: Final answer
    x = 896.50

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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.