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Finding the Fourth Proportional to 1,827.16, 2,740.37 and 656.98

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Solution

The fourth proportional to 1,827.16, 2,740.37 and 656.98 is: 985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.16 : 2,740.37 = 656.98 : x
  2. Step 2: Convert to fraction form
    1,827.16/2,740.37 = 656.98/x
  3. Step 3: Cross multiply
    1,827.16x = 2,740.37 × 656.98
  4. Step 4: Simplify right side
    1,827.16x = 1,800,358.15
  5. Step 5: Solve for x
    x = 1,800,358.15/1,827.16
  6. Step 6: Final answer
    x = 985.33

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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.