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Finding the Fourth Proportional to 2,423.83, 3,636.27 and 780.50

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Solution

The fourth proportional to 2,423.83, 3,636.27 and 780.50 is: 1,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.83 : 3,636.27 = 780.50 : x
  2. Step 2: Convert to fraction form
    2,423.83/3,636.27 = 780.50/x
  3. Step 3: Cross multiply
    2,423.83x = 3,636.27 × 780.50
  4. Step 4: Simplify right side
    2,423.83x = 2,838,123.30
  5. Step 5: Solve for x
    x = 2,838,123.30/2,423.83
  6. Step 6: Final answer
    x = 1,170.93

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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.