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Finding the Fourth Proportional to 1,781.85, 2,686.11 and 1,662.93

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Solution

The fourth proportional to 1,781.85, 2,686.11 and 1,662.93 is: 2,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.85 : 2,686.11 = 1,662.93 : x
  2. Step 2: Convert to fraction form
    1,781.85/2,686.11 = 1,662.93/x
  3. Step 3: Cross multiply
    1,781.85x = 2,686.11 × 1,662.93
  4. Step 4: Simplify right side
    1,781.85x = 4,466,812.90
  5. Step 5: Solve for x
    x = 4,466,812.90/1,781.85
  6. Step 6: Final answer
    x = 2,506.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.