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Finding the Fourth Proportional to 1,970.64, 2,957.22 and 816.39

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Solution

The fourth proportional to 1,970.64, 2,957.22 and 816.39 is: 1,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.64 : 2,957.22 = 816.39 : x
  2. Step 2: Convert to fraction form
    1,970.64/2,957.22 = 816.39/x
  3. Step 3: Cross multiply
    1,970.64x = 2,957.22 × 816.39
  4. Step 4: Simplify right side
    1,970.64x = 2,414,244.84
  5. Step 5: Solve for x
    x = 2,414,244.84/1,970.64
  6. Step 6: Final answer
    x = 1,225.11

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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.