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Finding the Fourth Proportional to 3,430.66, 4,734.28 and 1,938.64

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Solution

The fourth proportional to 3,430.66, 4,734.28 and 1,938.64 is: 2,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.66 : 4,734.28 = 1,938.64 : x
  2. Step 2: Convert to fraction form
    3,430.66/4,734.28 = 1,938.64/x
  3. Step 3: Cross multiply
    3,430.66x = 4,734.28 × 1,938.64
  4. Step 4: Simplify right side
    3,430.66x = 9,178,064.58
  5. Step 5: Solve for x
    x = 9,178,064.58/3,430.66
  6. Step 6: Final answer
    x = 2,675.31

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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.