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Finding the Fourth Proportional to 1,576.36, 2,354.00 and 1,485.24

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Solution

The fourth proportional to 1,576.36, 2,354.00 and 1,485.24 is: 2,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.36 : 2,354.00 = 1,485.24 : x
  2. Step 2: Convert to fraction form
    1,576.36/2,354.00 = 1,485.24/x
  3. Step 3: Cross multiply
    1,576.36x = 2,354.00 × 1,485.24
  4. Step 4: Simplify right side
    1,576.36x = 3,496,238.71
  5. Step 5: Solve for x
    x = 3,496,238.71/1,576.36
  6. Step 6: Final answer
    x = 2,217.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.