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Finding the Fourth Proportional to 2,684.76, 4,028.76 and 953.25

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Solution

The fourth proportional to 2,684.76, 4,028.76 and 953.25 is: 1,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.76 : 4,028.76 = 953.25 : x
  2. Step 2: Convert to fraction form
    2,684.76/4,028.76 = 953.25/x
  3. Step 3: Cross multiply
    2,684.76x = 4,028.76 × 953.25
  4. Step 4: Simplify right side
    2,684.76x = 3,840,415.47
  5. Step 5: Solve for x
    x = 3,840,415.47/2,684.76
  6. Step 6: Final answer
    x = 1,430.45

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1.5x scale

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.