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Finding the Fourth Proportional to 3,038.54, 4,194.78 and 1,904.54

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Solution

The fourth proportional to 3,038.54, 4,194.78 and 1,904.54 is: 2,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.54 : 4,194.78 = 1,904.54 : x
  2. Step 2: Convert to fraction form
    3,038.54/4,194.78 = 1,904.54/x
  3. Step 3: Cross multiply
    3,038.54x = 4,194.78 × 1,904.54
  4. Step 4: Simplify right side
    3,038.54x = 7,989,126.30
  5. Step 5: Solve for x
    x = 7,989,126.30/3,038.54
  6. Step 6: Final answer
    x = 2,629.26

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1.5x scale

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.