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Finding the Fourth Proportional to 1,787.92, 2,465.99 and 1,433.45

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Solution

The fourth proportional to 1,787.92, 2,465.99 and 1,433.45 is: 1,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.92 : 2,465.99 = 1,433.45 : x
  2. Step 2: Convert to fraction form
    1,787.92/2,465.99 = 1,433.45/x
  3. Step 3: Cross multiply
    1,787.92x = 2,465.99 × 1,433.45
  4. Step 4: Simplify right side
    1,787.92x = 3,534,871.93
  5. Step 5: Solve for x
    x = 3,534,871.93/1,787.92
  6. Step 6: Final answer
    x = 1,977.08

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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.