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Finding the Fourth Proportional to 3,134.95, 4,703.06 and 943.59

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Solution

The fourth proportional to 3,134.95, 4,703.06 and 943.59 is: 1,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.95 : 4,703.06 = 943.59 : x
  2. Step 2: Convert to fraction form
    3,134.95/4,703.06 = 943.59/x
  3. Step 3: Cross multiply
    3,134.95x = 4,703.06 × 943.59
  4. Step 4: Simplify right side
    3,134.95x = 4,437,760.39
  5. Step 5: Solve for x
    x = 4,437,760.39/3,134.95
  6. Step 6: Final answer
    x = 1,415.58

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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.