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Finding the Fourth Proportional to 2,841.95, 4,263.47 and 993.59

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Solution

The fourth proportional to 2,841.95, 4,263.47 and 993.59 is: 1,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.95 : 4,263.47 = 993.59 : x
  2. Step 2: Convert to fraction form
    2,841.95/4,263.47 = 993.59/x
  3. Step 3: Cross multiply
    2,841.95x = 4,263.47 × 993.59
  4. Step 4: Simplify right side
    2,841.95x = 4,236,114.87
  5. Step 5: Solve for x
    x = 4,236,114.87/2,841.95
  6. Step 6: Final answer
    x = 1,490.57

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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.