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Finding the Fourth Proportional to 1,419.01, 2,129.34 and 597.23

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Solution

The fourth proportional to 1,419.01, 2,129.34 and 597.23 is: 896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.01 : 2,129.34 = 597.23 : x
  2. Step 2: Convert to fraction form
    1,419.01/2,129.34 = 597.23/x
  3. Step 3: Cross multiply
    1,419.01x = 2,129.34 × 597.23
  4. Step 4: Simplify right side
    1,419.01x = 1,271,705.73
  5. Step 5: Solve for x
    x = 1,271,705.73/1,419.01
  6. Step 6: Final answer
    x = 896.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.