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Finding the Fourth Proportional to 1,324.95, 1,828.70 and 1,103.67

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Solution

The fourth proportional to 1,324.95, 1,828.70 and 1,103.67 is: 1,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.95 : 1,828.70 = 1,103.67 : x
  2. Step 2: Convert to fraction form
    1,324.95/1,828.70 = 1,103.67/x
  3. Step 3: Cross multiply
    1,324.95x = 1,828.70 × 1,103.67
  4. Step 4: Simplify right side
    1,324.95x = 2,018,275.81
  5. Step 5: Solve for x
    x = 2,018,275.81/1,324.95
  6. Step 6: Final answer
    x = 1,523.28

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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.