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Finding the Fourth Proportional to 1,606.86, 2,408.65 and 912.06

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Solution

The fourth proportional to 1,606.86, 2,408.65 and 912.06 is: 1,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.86 : 2,408.65 = 912.06 : x
  2. Step 2: Convert to fraction form
    1,606.86/2,408.65 = 912.06/x
  3. Step 3: Cross multiply
    1,606.86x = 2,408.65 × 912.06
  4. Step 4: Simplify right side
    1,606.86x = 2,196,831.04
  5. Step 5: Solve for x
    x = 2,196,831.04/1,606.86
  6. Step 6: Final answer
    x = 1,367.16

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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.