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Finding the Fourth Proportional to 1,955.87, 2,930.87 and 784.71

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Solution

The fourth proportional to 1,955.87, 2,930.87 and 784.71 is: 1,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.87 : 2,930.87 = 784.71 : x
  2. Step 2: Convert to fraction form
    1,955.87/2,930.87 = 784.71/x
  3. Step 3: Cross multiply
    1,955.87x = 2,930.87 × 784.71
  4. Step 4: Simplify right side
    1,955.87x = 2,299,879.07
  5. Step 5: Solve for x
    x = 2,299,879.07/1,955.87
  6. Step 6: Final answer
    x = 1,175.89

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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.