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Finding the Fourth Proportional to 3,364.95, 5,047.44 and 1,513.92

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Solution

The fourth proportional to 3,364.95, 5,047.44 and 1,513.92 is: 2,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.95 : 5,047.44 = 1,513.92 : x
  2. Step 2: Convert to fraction form
    3,364.95/5,047.44 = 1,513.92/x
  3. Step 3: Cross multiply
    3,364.95x = 5,047.44 × 1,513.92
  4. Step 4: Simplify right side
    3,364.95x = 7,641,420.36
  5. Step 5: Solve for x
    x = 7,641,420.36/3,364.95
  6. Step 6: Final answer
    x = 2,270.89

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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.