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Finding the Fourth Proportional to 1,933.57, 2,900.76 and 634.93

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Solution

The fourth proportional to 1,933.57, 2,900.76 and 634.93 is: 952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.57 : 2,900.76 = 634.93 : x
  2. Step 2: Convert to fraction form
    1,933.57/2,900.76 = 634.93/x
  3. Step 3: Cross multiply
    1,933.57x = 2,900.76 × 634.93
  4. Step 4: Simplify right side
    1,933.57x = 1,841,779.55
  5. Step 5: Solve for x
    x = 1,841,779.55/1,933.57
  6. Step 6: Final answer
    x = 952.53

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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.