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Finding the Fourth Proportional to 2,036.62, 2,809.74 and 1,563.72

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Solution

The fourth proportional to 2,036.62, 2,809.74 and 1,563.72 is: 2,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.62 : 2,809.74 = 1,563.72 : x
  2. Step 2: Convert to fraction form
    2,036.62/2,809.74 = 1,563.72/x
  3. Step 3: Cross multiply
    2,036.62x = 2,809.74 × 1,563.72
  4. Step 4: Simplify right side
    2,036.62x = 4,393,646.63
  5. Step 5: Solve for x
    x = 4,393,646.63/2,036.62
  6. Step 6: Final answer
    x = 2,157.32

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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.