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Finding the Fourth Proportional to 3,420.54, 4,720 and 1,928.42

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Solution

The fourth proportional to 3,420.54, 4,720 and 1,928.42 is: 2,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.54 : 4,720 = 1,928.42 : x
  2. Step 2: Convert to fraction form
    3,420.54/4,720 = 1,928.42/x
  3. Step 3: Cross multiply
    3,420.54x = 4,720 × 1,928.42
  4. Step 4: Simplify right side
    3,420.54x = 9,102,142.40
  5. Step 5: Solve for x
    x = 9,102,142.40/3,420.54
  6. Step 6: Final answer
    x = 2,661.02

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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.