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Finding the Fourth Proportional to 1,541.63, 2,312.57 and 446.09

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Solution

The fourth proportional to 1,541.63, 2,312.57 and 446.09 is: 669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.63 : 2,312.57 = 446.09 : x
  2. Step 2: Convert to fraction form
    1,541.63/2,312.57 = 446.09/x
  3. Step 3: Cross multiply
    1,541.63x = 2,312.57 × 446.09
  4. Step 4: Simplify right side
    1,541.63x = 1,031,600.56
  5. Step 5: Solve for x
    x = 1,031,600.56/1,541.63
  6. Step 6: Final answer
    x = 669.16

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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.