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Finding the Fourth Proportional to 1,583.34, 2,369.07 and 1,500

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Solution

The fourth proportional to 1,583.34, 2,369.07 and 1,500 is: 2,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.34 : 2,369.07 = 1,500 : x
  2. Step 2: Convert to fraction form
    1,583.34/2,369.07 = 1,500/x
  3. Step 3: Cross multiply
    1,583.34x = 2,369.07 × 1,500
  4. Step 4: Simplify right side
    1,583.34x = 3,553,605.00
  5. Step 5: Solve for x
    x = 3,553,605.00/1,583.34
  6. Step 6: Final answer
    x = 2,244.37

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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.