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Finding the Fourth Proportional to 1,828.34, 2,521.01 and 1,429.22

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Solution

The fourth proportional to 1,828.34, 2,521.01 and 1,429.22 is: 1,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.34 : 2,521.01 = 1,429.22 : x
  2. Step 2: Convert to fraction form
    1,828.34/2,521.01 = 1,429.22/x
  3. Step 3: Cross multiply
    1,828.34x = 2,521.01 × 1,429.22
  4. Step 4: Simplify right side
    1,828.34x = 3,603,058.16
  5. Step 5: Solve for x
    x = 3,603,058.16/1,828.34
  6. Step 6: Final answer
    x = 1,970.68

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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.