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Finding the Fourth Proportional to 1,953.91, 2,931.37 and 858.59

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Solution

The fourth proportional to 1,953.91, 2,931.37 and 858.59 is: 1,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.91 : 2,931.37 = 858.59 : x
  2. Step 2: Convert to fraction form
    1,953.91/2,931.37 = 858.59/x
  3. Step 3: Cross multiply
    1,953.91x = 2,931.37 × 858.59
  4. Step 4: Simplify right side
    1,953.91x = 2,516,844.97
  5. Step 5: Solve for x
    x = 2,516,844.97/1,953.91
  6. Step 6: Final answer
    x = 1,288.11

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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.