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Finding the Fourth Proportional to 3,312.94, 4,970.43 and 1,668.93

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Solution

The fourth proportional to 3,312.94, 4,970.43 and 1,668.93 is: 2,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.94 : 4,970.43 = 1,668.93 : x
  2. Step 2: Convert to fraction form
    3,312.94/4,970.43 = 1,668.93/x
  3. Step 3: Cross multiply
    3,312.94x = 4,970.43 × 1,668.93
  4. Step 4: Simplify right side
    3,312.94x = 8,295,299.74
  5. Step 5: Solve for x
    x = 8,295,299.74/3,312.94
  6. Step 6: Final answer
    x = 2,503.91

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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.