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Finding the Fourth Proportional to 2,534.94, 3,803.22 and 975.42

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Solution

The fourth proportional to 2,534.94, 3,803.22 and 975.42 is: 1,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.94 : 3,803.22 = 975.42 : x
  2. Step 2: Convert to fraction form
    2,534.94/3,803.22 = 975.42/x
  3. Step 3: Cross multiply
    2,534.94x = 3,803.22 × 975.42
  4. Step 4: Simplify right side
    2,534.94x = 3,709,736.85
  5. Step 5: Solve for x
    x = 3,709,736.85/2,534.94
  6. Step 6: Final answer
    x = 1,463.44

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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.