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Finding the Fourth Proportional to 2,954, 4,430.52 and 2,085.68

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Solution

The fourth proportional to 2,954, 4,430.52 and 2,085.68 is: 3,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954 : 4,430.52 = 2,085.68 : x
  2. Step 2: Convert to fraction form
    2,954/4,430.52 = 2,085.68/x
  3. Step 3: Cross multiply
    2,954x = 4,430.52 × 2,085.68
  4. Step 4: Simplify right side
    2,954x = 9,240,646.95
  5. Step 5: Solve for x
    x = 9,240,646.95/2,954
  6. Step 6: Final answer
    x = 3,128.18

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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.