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Finding the Fourth Proportional to 1,970.34, 2,953.86 and 815.28

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Solution

The fourth proportional to 1,970.34, 2,953.86 and 815.28 is: 1,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.34 : 2,953.86 = 815.28 : x
  2. Step 2: Convert to fraction form
    1,970.34/2,953.86 = 815.28/x
  3. Step 3: Cross multiply
    1,970.34x = 2,953.86 × 815.28
  4. Step 4: Simplify right side
    1,970.34x = 2,408,222.98
  5. Step 5: Solve for x
    x = 2,408,222.98/1,970.34
  6. Step 6: Final answer
    x = 1,222.24

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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.