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Finding the Fourth Proportional to 2,241.54, 3,093.12 and 1,652.40

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Solution

The fourth proportional to 2,241.54, 3,093.12 and 1,652.40 is: 2,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.54 : 3,093.12 = 1,652.40 : x
  2. Step 2: Convert to fraction form
    2,241.54/3,093.12 = 1,652.40/x
  3. Step 3: Cross multiply
    2,241.54x = 3,093.12 × 1,652.40
  4. Step 4: Simplify right side
    2,241.54x = 5,111,071.49
  5. Step 5: Solve for x
    x = 5,111,071.49/2,241.54
  6. Step 6: Final answer
    x = 2,280.16

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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.