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Finding the Fourth Proportional to 1,384.76, 1,911.83 and 1,030.28

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Solution

The fourth proportional to 1,384.76, 1,911.83 and 1,030.28 is: 1,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.76 : 1,911.83 = 1,030.28 : x
  2. Step 2: Convert to fraction form
    1,384.76/1,911.83 = 1,030.28/x
  3. Step 3: Cross multiply
    1,384.76x = 1,911.83 × 1,030.28
  4. Step 4: Simplify right side
    1,384.76x = 1,969,705.50
  5. Step 5: Solve for x
    x = 1,969,705.50/1,384.76
  6. Step 6: Final answer
    x = 1,422.41

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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.