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Finding the Fourth Proportional to 4,661.91, 6,992.89 and 1,740.19

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Solution

The fourth proportional to 4,661.91, 6,992.89 and 1,740.19 is: 2,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.91 : 6,992.89 = 1,740.19 : x
  2. Step 2: Convert to fraction form
    4,661.91/6,992.89 = 1,740.19/x
  3. Step 3: Cross multiply
    4,661.91x = 6,992.89 × 1,740.19
  4. Step 4: Simplify right side
    4,661.91x = 12,168,935.42
  5. Step 5: Solve for x
    x = 12,168,935.42/4,661.91
  6. Step 6: Final answer
    x = 2,610.29

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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.