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Finding the Fourth Proportional to 1,607.75, 2,411.78 and 1,298.23

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Solution

The fourth proportional to 1,607.75, 2,411.78 and 1,298.23 is: 1,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.75 : 2,411.78 = 1,298.23 : x
  2. Step 2: Convert to fraction form
    1,607.75/2,411.78 = 1,298.23/x
  3. Step 3: Cross multiply
    1,607.75x = 2,411.78 × 1,298.23
  4. Step 4: Simplify right side
    1,607.75x = 3,131,032.63
  5. Step 5: Solve for x
    x = 3,131,032.63/1,607.75
  6. Step 6: Final answer
    x = 1,947.46

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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.