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Finding the Fourth Proportional to 1,418.54, 2,127.81 and 597.39

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Solution

The fourth proportional to 1,418.54, 2,127.81 and 597.39 is: 896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.54 : 2,127.81 = 597.39 : x
  2. Step 2: Convert to fraction form
    1,418.54/2,127.81 = 597.39/x
  3. Step 3: Cross multiply
    1,418.54x = 2,127.81 × 597.39
  4. Step 4: Simplify right side
    1,418.54x = 1,271,132.42
  5. Step 5: Solve for x
    x = 1,271,132.42/1,418.54
  6. Step 6: Final answer
    x = 896.08

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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.