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Finding the Fourth Proportional to 1,384.54, 1,910.02 and 824.70

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Solution

The fourth proportional to 1,384.54, 1,910.02 and 824.70 is: 1,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.54 : 1,910.02 = 824.70 : x
  2. Step 2: Convert to fraction form
    1,384.54/1,910.02 = 824.70/x
  3. Step 3: Cross multiply
    1,384.54x = 1,910.02 × 824.70
  4. Step 4: Simplify right side
    1,384.54x = 1,575,193.49
  5. Step 5: Solve for x
    x = 1,575,193.49/1,384.54
  6. Step 6: Final answer
    x = 1,137.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.