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Finding the Fourth Proportional to 1,661.86, 2,492.83 and 429.26

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Solution

The fourth proportional to 1,661.86, 2,492.83 and 429.26 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.86 : 2,492.83 = 429.26 : x
  2. Step 2: Convert to fraction form
    1,661.86/2,492.83 = 429.26/x
  3. Step 3: Cross multiply
    1,661.86x = 2,492.83 × 429.26
  4. Step 4: Simplify right side
    1,661.86x = 1,070,072.21
  5. Step 5: Solve for x
    x = 1,070,072.21/1,661.86
  6. Step 6: Final answer
    x = 643.90

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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.