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Finding the Fourth Proportional to 2,530.94, 3,796.42 and 970.58

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Solution

The fourth proportional to 2,530.94, 3,796.42 and 970.58 is: 1,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.94 : 3,796.42 = 970.58 : x
  2. Step 2: Convert to fraction form
    2,530.94/3,796.42 = 970.58/x
  3. Step 3: Cross multiply
    2,530.94x = 3,796.42 × 970.58
  4. Step 4: Simplify right side
    2,530.94x = 3,684,729.32
  5. Step 5: Solve for x
    x = 3,684,729.32/2,530.94
  6. Step 6: Final answer
    x = 1,455.87

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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.