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Finding the Fourth Proportional to 1,607.14, 2,408.94 and 912.31

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Solution

The fourth proportional to 1,607.14, 2,408.94 and 912.31 is: 1,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.14 : 2,408.94 = 912.31 : x
  2. Step 2: Convert to fraction form
    1,607.14/2,408.94 = 912.31/x
  3. Step 3: Cross multiply
    1,607.14x = 2,408.94 × 912.31
  4. Step 4: Simplify right side
    1,607.14x = 2,197,707.58
  5. Step 5: Solve for x
    x = 2,197,707.58/1,607.14
  6. Step 6: Final answer
    x = 1,367.46

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1.5x scale

Why These Related Problems?

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