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Finding the Fourth Proportional to 1,592.10, 2,197.08 and 893.46

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Solution

The fourth proportional to 1,592.10, 2,197.08 and 893.46 is: 1,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.10 : 2,197.08 = 893.46 : x
  2. Step 2: Convert to fraction form
    1,592.10/2,197.08 = 893.46/x
  3. Step 3: Cross multiply
    1,592.10x = 2,197.08 × 893.46
  4. Step 4: Simplify right side
    1,592.10x = 1,963,003.10
  5. Step 5: Solve for x
    x = 1,963,003.10/1,592.10
  6. Step 6: Final answer
    x = 1,232.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.