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Finding the Fourth Proportional to 3,184.70, 4,778.16 and 1,430.95

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Solution

The fourth proportional to 3,184.70, 4,778.16 and 1,430.95 is: 2,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.70 : 4,778.16 = 1,430.95 : x
  2. Step 2: Convert to fraction form
    3,184.70/4,778.16 = 1,430.95/x
  3. Step 3: Cross multiply
    3,184.70x = 4,778.16 × 1,430.95
  4. Step 4: Simplify right side
    3,184.70x = 6,837,284.16
  5. Step 5: Solve for x
    x = 6,837,284.16/3,184.70
  6. Step 6: Final answer
    x = 2,146.92

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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.