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Finding the Fourth Proportional to 3,113.49, 4,668.72 and 921.63

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Solution

The fourth proportional to 3,113.49, 4,668.72 and 921.63 is: 1,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.49 : 4,668.72 = 921.63 : x
  2. Step 2: Convert to fraction form
    3,113.49/4,668.72 = 921.63/x
  3. Step 3: Cross multiply
    3,113.49x = 4,668.72 × 921.63
  4. Step 4: Simplify right side
    3,113.49x = 4,302,832.41
  5. Step 5: Solve for x
    x = 4,302,832.41/3,113.49
  6. Step 6: Final answer
    x = 1,382.00

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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.