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Finding the Fourth Proportional to 1,756.64, 2,422.46 and 1,093.03

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Solution

The fourth proportional to 1,756.64, 2,422.46 and 1,093.03 is: 1,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.64 : 2,422.46 = 1,093.03 : x
  2. Step 2: Convert to fraction form
    1,756.64/2,422.46 = 1,093.03/x
  3. Step 3: Cross multiply
    1,756.64x = 2,422.46 × 1,093.03
  4. Step 4: Simplify right side
    1,756.64x = 2,647,818.13
  5. Step 5: Solve for x
    x = 2,647,818.13/1,756.64
  6. Step 6: Final answer
    x = 1,507.32

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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.