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Finding the Fourth Proportional to 1,580.00, 2,366.91 and 962.17

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Solution

The fourth proportional to 1,580.00, 2,366.91 and 962.17 is: 1,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.00 : 2,366.91 = 962.17 : x
  2. Step 2: Convert to fraction form
    1,580.00/2,366.91 = 962.17/x
  3. Step 3: Cross multiply
    1,580.00x = 2,366.91 × 962.17
  4. Step 4: Simplify right side
    1,580.00x = 2,277,363.88
  5. Step 5: Solve for x
    x = 2,277,363.88/1,580.00
  6. Step 6: Final answer
    x = 1,441.37

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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.