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Finding the Fourth Proportional to 1,462.58, 2,185.30 and 1,411.54

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Solution

The fourth proportional to 1,462.58, 2,185.30 and 1,411.54 is: 2,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.58 : 2,185.30 = 1,411.54 : x
  2. Step 2: Convert to fraction form
    1,462.58/2,185.30 = 1,411.54/x
  3. Step 3: Cross multiply
    1,462.58x = 2,185.30 × 1,411.54
  4. Step 4: Simplify right side
    1,462.58x = 3,084,638.36
  5. Step 5: Solve for x
    x = 3,084,638.36/1,462.58
  6. Step 6: Final answer
    x = 2,109.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.