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Finding the Fourth Proportional to 2,286.51, 3,430.99 and 970.47

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Solution

The fourth proportional to 2,286.51, 3,430.99 and 970.47 is: 1,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.51 : 3,430.99 = 970.47 : x
  2. Step 2: Convert to fraction form
    2,286.51/3,430.99 = 970.47/x
  3. Step 3: Cross multiply
    2,286.51x = 3,430.99 × 970.47
  4. Step 4: Simplify right side
    2,286.51x = 3,329,672.87
  5. Step 5: Solve for x
    x = 3,329,672.87/2,286.51
  6. Step 6: Final answer
    x = 1,456.22

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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.