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Finding the Fourth Proportional to 1,358.24, 2,037.36 and 384.22

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Solution

The fourth proportional to 1,358.24, 2,037.36 and 384.22 is: 576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.24 : 2,037.36 = 384.22 : x
  2. Step 2: Convert to fraction form
    1,358.24/2,037.36 = 384.22/x
  3. Step 3: Cross multiply
    1,358.24x = 2,037.36 × 384.22
  4. Step 4: Simplify right side
    1,358.24x = 782,784.27
  5. Step 5: Solve for x
    x = 782,784.27/1,358.24
  6. Step 6: Final answer
    x = 576.32

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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.