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Finding the Fourth Proportional to 1,896.16, 2,844.30 and 597.64

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Solution

The fourth proportional to 1,896.16, 2,844.30 and 597.64 is: 896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.16 : 2,844.30 = 597.64 : x
  2. Step 2: Convert to fraction form
    1,896.16/2,844.30 = 597.64/x
  3. Step 3: Cross multiply
    1,896.16x = 2,844.30 × 597.64
  4. Step 4: Simplify right side
    1,896.16x = 1,699,867.45
  5. Step 5: Solve for x
    x = 1,699,867.45/1,896.16
  6. Step 6: Final answer
    x = 896.48

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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.