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Finding the Fourth Proportional to 1,470.83, 2,207.26 and 951.08

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Solution

The fourth proportional to 1,470.83, 2,207.26 and 951.08 is: 1,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.83 : 2,207.26 = 951.08 : x
  2. Step 2: Convert to fraction form
    1,470.83/2,207.26 = 951.08/x
  3. Step 3: Cross multiply
    1,470.83x = 2,207.26 × 951.08
  4. Step 4: Simplify right side
    1,470.83x = 2,099,281.64
  5. Step 5: Solve for x
    x = 2,099,281.64/1,470.83
  6. Step 6: Final answer
    x = 1,427.27

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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.