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Finding the Fourth Proportional to 1,893.19, 2,840.24 and 594.66

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Solution

The fourth proportional to 1,893.19, 2,840.24 and 594.66 is: 892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.19 : 2,840.24 = 594.66 : x
  2. Step 2: Convert to fraction form
    1,893.19/2,840.24 = 594.66/x
  3. Step 3: Cross multiply
    1,893.19x = 2,840.24 × 594.66
  4. Step 4: Simplify right side
    1,893.19x = 1,688,985.20
  5. Step 5: Solve for x
    x = 1,688,985.20/1,893.19
  6. Step 6: Final answer
    x = 892.14

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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.