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Finding the Fourth Proportional to 3,185.98, 4,778.16 and 1,430

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Solution

The fourth proportional to 3,185.98, 4,778.16 and 1,430 is: 2,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.98 : 4,778.16 = 1,430 : x
  2. Step 2: Convert to fraction form
    3,185.98/4,778.16 = 1,430/x
  3. Step 3: Cross multiply
    3,185.98x = 4,778.16 × 1,430
  4. Step 4: Simplify right side
    3,185.98x = 6,832,768.80
  5. Step 5: Solve for x
    x = 6,832,768.80/3,185.98
  6. Step 6: Final answer
    x = 2,144.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.