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Finding the Fourth Proportional to 1,957.32, 2,935.50 and 570.30

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Solution

The fourth proportional to 1,957.32, 2,935.50 and 570.30 is: 855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.32 : 2,935.50 = 570.30 : x
  2. Step 2: Convert to fraction form
    1,957.32/2,935.50 = 570.30/x
  3. Step 3: Cross multiply
    1,957.32x = 2,935.50 × 570.30
  4. Step 4: Simplify right side
    1,957.32x = 1,674,115.65
  5. Step 5: Solve for x
    x = 1,674,115.65/1,957.32
  6. Step 6: Final answer
    x = 855.31

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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.