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Finding the Fourth Proportional to 1,592.99, 2,391.43 and 900.14

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Solution

The fourth proportional to 1,592.99, 2,391.43 and 900.14 is: 1,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.99 : 2,391.43 = 900.14 : x
  2. Step 2: Convert to fraction form
    1,592.99/2,391.43 = 900.14/x
  3. Step 3: Cross multiply
    1,592.99x = 2,391.43 × 900.14
  4. Step 4: Simplify right side
    1,592.99x = 2,152,621.80
  5. Step 5: Solve for x
    x = 2,152,621.80/1,592.99
  6. Step 6: Final answer
    x = 1,351.31

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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.