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Finding the Fourth Proportional to 1,358.22, 2,037.14 and 384.40

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Solution

The fourth proportional to 1,358.22, 2,037.14 and 384.40 is: 576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.22 : 2,037.14 = 384.40 : x
  2. Step 2: Convert to fraction form
    1,358.22/2,037.14 = 384.40/x
  3. Step 3: Cross multiply
    1,358.22x = 2,037.14 × 384.40
  4. Step 4: Simplify right side
    1,358.22x = 783,076.62
  5. Step 5: Solve for x
    x = 783,076.62/1,358.22
  6. Step 6: Final answer
    x = 576.55

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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.