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Finding the Fourth Proportional to 1,701.96, 2,540.00 and 1,658.22

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Solution

The fourth proportional to 1,701.96, 2,540.00 and 1,658.22 is: 2,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.96 : 2,540.00 = 1,658.22 : x
  2. Step 2: Convert to fraction form
    1,701.96/2,540.00 = 1,658.22/x
  3. Step 3: Cross multiply
    1,701.96x = 2,540.00 × 1,658.22
  4. Step 4: Simplify right side
    1,701.96x = 4,211,857.81
  5. Step 5: Solve for x
    x = 4,211,857.81/1,701.96
  6. Step 6: Final answer
    x = 2,474.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.