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Finding the Fourth Proportional to 1,384.96, 1,898.84 and 1,360.36

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Solution

The fourth proportional to 1,384.96, 1,898.84 and 1,360.36 is: 1,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.96 : 1,898.84 = 1,360.36 : x
  2. Step 2: Convert to fraction form
    1,384.96/1,898.84 = 1,360.36/x
  3. Step 3: Cross multiply
    1,384.96x = 1,898.84 × 1,360.36
  4. Step 4: Simplify right side
    1,384.96x = 2,583,105.98
  5. Step 5: Solve for x
    x = 2,583,105.98/1,384.96
  6. Step 6: Final answer
    x = 1,865.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.