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Finding the Fourth Proportional to 1,470.08, 2,027.22 and 1,261.02

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Solution

The fourth proportional to 1,470.08, 2,027.22 and 1,261.02 is: 1,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.08 : 2,027.22 = 1,261.02 : x
  2. Step 2: Convert to fraction form
    1,470.08/2,027.22 = 1,261.02/x
  3. Step 3: Cross multiply
    1,470.08x = 2,027.22 × 1,261.02
  4. Step 4: Simplify right side
    1,470.08x = 2,556,364.96
  5. Step 5: Solve for x
    x = 2,556,364.96/1,470.08
  6. Step 6: Final answer
    x = 1,738.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.