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Finding the Fourth Proportional to 2,366.02, 3,549.03 and 905.59

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Solution

The fourth proportional to 2,366.02, 3,549.03 and 905.59 is: 1,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.02 : 3,549.03 = 905.59 : x
  2. Step 2: Convert to fraction form
    2,366.02/3,549.03 = 905.59/x
  3. Step 3: Cross multiply
    2,366.02x = 3,549.03 × 905.59
  4. Step 4: Simplify right side
    2,366.02x = 3,213,966.08
  5. Step 5: Solve for x
    x = 3,213,966.08/2,366.02
  6. Step 6: Final answer
    x = 1,358.39

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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.