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Finding the Fourth Proportional to 1,953.44, 2,930.13 and 783.74

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Solution

The fourth proportional to 1,953.44, 2,930.13 and 783.74 is: 1,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.44 : 2,930.13 = 783.74 : x
  2. Step 2: Convert to fraction form
    1,953.44/2,930.13 = 783.74/x
  3. Step 3: Cross multiply
    1,953.44x = 2,930.13 × 783.74
  4. Step 4: Simplify right side
    1,953.44x = 2,296,445.44
  5. Step 5: Solve for x
    x = 2,296,445.44/1,953.44
  6. Step 6: Final answer
    x = 1,175.59

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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.