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Finding the Fourth Proportional to 1,661.85, 2,492.93 and 429.27

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Solution

The fourth proportional to 1,661.85, 2,492.93 and 429.27 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.85 : 2,492.93 = 429.27 : x
  2. Step 2: Convert to fraction form
    1,661.85/2,492.93 = 429.27/x
  3. Step 3: Cross multiply
    1,661.85x = 2,492.93 × 429.27
  4. Step 4: Simplify right side
    1,661.85x = 1,070,140.06
  5. Step 5: Solve for x
    x = 1,070,140.06/1,661.85
  6. Step 6: Final answer
    x = 643.95

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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.