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Finding the Fourth Proportional to 2,530.14, 3,795.42 and 970.90

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Solution

The fourth proportional to 2,530.14, 3,795.42 and 970.90 is: 1,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.14 : 3,795.42 = 970.90 : x
  2. Step 2: Convert to fraction form
    2,530.14/3,795.42 = 970.90/x
  3. Step 3: Cross multiply
    2,530.14x = 3,795.42 × 970.90
  4. Step 4: Simplify right side
    2,530.14x = 3,684,973.28
  5. Step 5: Solve for x
    x = 3,684,973.28/2,530.14
  6. Step 6: Final answer
    x = 1,456.43

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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.