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Finding the Fourth Proportional to 3,430.72, 4,734.06 and 1,938.46

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Solution

The fourth proportional to 3,430.72, 4,734.06 and 1,938.46 is: 2,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.72 : 4,734.06 = 1,938.46 : x
  2. Step 2: Convert to fraction form
    3,430.72/4,734.06 = 1,938.46/x
  3. Step 3: Cross multiply
    3,430.72x = 4,734.06 × 1,938.46
  4. Step 4: Simplify right side
    3,430.72x = 9,176,785.95
  5. Step 5: Solve for x
    x = 9,176,785.95/3,430.72
  6. Step 6: Final answer
    x = 2,674.89

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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.