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Finding the Fourth Proportional to 2,255, 3,111.90 and 1,470.38

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Solution

The fourth proportional to 2,255, 3,111.90 and 1,470.38 is: 2,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255 : 3,111.90 = 1,470.38 : x
  2. Step 2: Convert to fraction form
    2,255/3,111.90 = 1,470.38/x
  3. Step 3: Cross multiply
    2,255x = 3,111.90 × 1,470.38
  4. Step 4: Simplify right side
    2,255x = 4,575,675.52
  5. Step 5: Solve for x
    x = 4,575,675.52/2,255
  6. Step 6: Final answer
    x = 2,029.12

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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.