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Finding the Fourth Proportional to 1,893.32, 2,840.07 and 594.89

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Solution

The fourth proportional to 1,893.32, 2,840.07 and 594.89 is: 892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.32 : 2,840.07 = 594.89 : x
  2. Step 2: Convert to fraction form
    1,893.32/2,840.07 = 594.89/x
  3. Step 3: Cross multiply
    1,893.32x = 2,840.07 × 594.89
  4. Step 4: Simplify right side
    1,893.32x = 1,689,529.24
  5. Step 5: Solve for x
    x = 1,689,529.24/1,893.32
  6. Step 6: Final answer
    x = 892.36

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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.