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Finding the Fourth Proportional to 1,743.17, 2,404.95 and 986.84

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Solution

The fourth proportional to 1,743.17, 2,404.95 and 986.84 is: 1,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.17 : 2,404.95 = 986.84 : x
  2. Step 2: Convert to fraction form
    1,743.17/2,404.95 = 986.84/x
  3. Step 3: Cross multiply
    1,743.17x = 2,404.95 × 986.84
  4. Step 4: Simplify right side
    1,743.17x = 2,373,294.15
  5. Step 5: Solve for x
    x = 2,373,294.15/1,743.17
  6. Step 6: Final answer
    x = 1,361.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.