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Finding the Fourth Proportional to 1,541.43, 2,312.49 and 445.88

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Solution

The fourth proportional to 1,541.43, 2,312.49 and 445.88 is: 668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.43 : 2,312.49 = 445.88 : x
  2. Step 2: Convert to fraction form
    1,541.43/2,312.49 = 445.88/x
  3. Step 3: Cross multiply
    1,541.43x = 2,312.49 × 445.88
  4. Step 4: Simplify right side
    1,541.43x = 1,031,088.15
  5. Step 5: Solve for x
    x = 1,031,088.15/1,541.43
  6. Step 6: Final answer
    x = 668.92

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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.