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Finding the Fourth Proportional to 1,957.64, 2,936.60 and 570.99

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Solution

The fourth proportional to 1,957.64, 2,936.60 and 570.99 is: 856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.64 : 2,936.60 = 570.99 : x
  2. Step 2: Convert to fraction form
    1,957.64/2,936.60 = 570.99/x
  3. Step 3: Cross multiply
    1,957.64x = 2,936.60 × 570.99
  4. Step 4: Simplify right side
    1,957.64x = 1,676,755.98
  5. Step 5: Solve for x
    x = 1,676,755.98/1,957.64
  6. Step 6: Final answer
    x = 856.52

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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.