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Finding the Fourth Proportional to 1,636.93, 2,461.07 and 1,314.55

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Solution

The fourth proportional to 1,636.93, 2,461.07 and 1,314.55 is: 1,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.93 : 2,461.07 = 1,314.55 : x
  2. Step 2: Convert to fraction form
    1,636.93/2,461.07 = 1,314.55/x
  3. Step 3: Cross multiply
    1,636.93x = 2,461.07 × 1,314.55
  4. Step 4: Simplify right side
    1,636.93x = 3,235,199.57
  5. Step 5: Solve for x
    x = 3,235,199.57/1,636.93
  6. Step 6: Final answer
    x = 1,976.38

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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.