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Finding the Fourth Proportional to 1,442.92, 2,153.05 and 1,354.75

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Solution

The fourth proportional to 1,442.92, 2,153.05 and 1,354.75 is: 2,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.92 : 2,153.05 = 1,354.75 : x
  2. Step 2: Convert to fraction form
    1,442.92/2,153.05 = 1,354.75/x
  3. Step 3: Cross multiply
    1,442.92x = 2,153.05 × 1,354.75
  4. Step 4: Simplify right side
    1,442.92x = 2,916,855.45
  5. Step 5: Solve for x
    x = 2,916,855.45/1,442.92
  6. Step 6: Final answer
    x = 2,021.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.