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Finding the Fourth Proportional to 1,953.10, 2,930.78 and 783.66

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Solution

The fourth proportional to 1,953.10, 2,930.78 and 783.66 is: 1,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.10 : 2,930.78 = 783.66 : x
  2. Step 2: Convert to fraction form
    1,953.10/2,930.78 = 783.66/x
  3. Step 3: Cross multiply
    1,953.10x = 2,930.78 × 783.66
  4. Step 4: Simplify right side
    1,953.10x = 2,296,731.52
  5. Step 5: Solve for x
    x = 2,296,731.52/1,953.10
  6. Step 6: Final answer
    x = 1,175.94

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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.