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Finding the Fourth Proportional to 1,957.07, 2,935.73 and 570.41

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Solution

The fourth proportional to 1,957.07, 2,935.73 and 570.41 is: 855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.07 : 2,935.73 = 570.41 : x
  2. Step 2: Convert to fraction form
    1,957.07/2,935.73 = 570.41/x
  3. Step 3: Cross multiply
    1,957.07x = 2,935.73 × 570.41
  4. Step 4: Simplify right side
    1,957.07x = 1,674,569.75
  5. Step 5: Solve for x
    x = 1,674,569.75/1,957.07
  6. Step 6: Final answer
    x = 855.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.