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Finding the Fourth Proportional to 1,684.02, 2,323.64 and 937.86

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Solution

The fourth proportional to 1,684.02, 2,323.64 and 937.86 is: 1,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.02 : 2,323.64 = 937.86 : x
  2. Step 2: Convert to fraction form
    1,684.02/2,323.64 = 937.86/x
  3. Step 3: Cross multiply
    1,684.02x = 2,323.64 × 937.86
  4. Step 4: Simplify right side
    1,684.02x = 2,179,249.01
  5. Step 5: Solve for x
    x = 2,179,249.01/1,684.02
  6. Step 6: Final answer
    x = 1,294.08

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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.