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Finding the Fourth Proportional to 1,828.52, 2,521.51 and 1,381.49

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Solution

The fourth proportional to 1,828.52, 2,521.51 and 1,381.49 is: 1,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.52 : 2,521.51 = 1,381.49 : x
  2. Step 2: Convert to fraction form
    1,828.52/2,521.51 = 1,381.49/x
  3. Step 3: Cross multiply
    1,828.52x = 2,521.51 × 1,381.49
  4. Step 4: Simplify right side
    1,828.52x = 3,483,440.85
  5. Step 5: Solve for x
    x = 3,483,440.85/1,828.52
  6. Step 6: Final answer
    x = 1,905.06

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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.