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Finding the Fourth Proportional to 1,828.76, 2,521.77 and 1,381.68

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Solution

The fourth proportional to 1,828.76, 2,521.77 and 1,381.68 is: 1,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.76 : 2,521.77 = 1,381.68 : x
  2. Step 2: Convert to fraction form
    1,828.76/2,521.77 = 1,381.68/x
  3. Step 3: Cross multiply
    1,828.76x = 2,521.77 × 1,381.68
  4. Step 4: Simplify right side
    1,828.76x = 3,484,279.17
  5. Step 5: Solve for x
    x = 3,484,279.17/1,828.76
  6. Step 6: Final answer
    x = 1,905.27

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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.