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Finding the Fourth Proportional to 1,935.60, 2,896.02 and 1,070.52

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Solution

The fourth proportional to 1,935.60, 2,896.02 and 1,070.52 is: 1,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.60 : 2,896.02 = 1,070.52 : x
  2. Step 2: Convert to fraction form
    1,935.60/2,896.02 = 1,070.52/x
  3. Step 3: Cross multiply
    1,935.60x = 2,896.02 × 1,070.52
  4. Step 4: Simplify right side
    1,935.60x = 3,100,247.33
  5. Step 5: Solve for x
    x = 3,100,247.33/1,935.60
  6. Step 6: Final answer
    x = 1,601.70

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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.