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Finding the Fourth Proportional to 1,953.69, 2,930.50 and 783.99

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Solution

The fourth proportional to 1,953.69, 2,930.50 and 783.99 is: 1,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.69 : 2,930.50 = 783.99 : x
  2. Step 2: Convert to fraction form
    1,953.69/2,930.50 = 783.99/x
  3. Step 3: Cross multiply
    1,953.69x = 2,930.50 × 783.99
  4. Step 4: Simplify right side
    1,953.69x = 2,297,482.70
  5. Step 5: Solve for x
    x = 2,297,482.70/1,953.69
  6. Step 6: Final answer
    x = 1,175.97

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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.