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Finding the Fourth Proportional to 2,325.63, 3,494.84 and 1,230.77

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Solution

The fourth proportional to 2,325.63, 3,494.84 and 1,230.77 is: 1,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.63 : 3,494.84 = 1,230.77 : x
  2. Step 2: Convert to fraction form
    2,325.63/3,494.84 = 1,230.77/x
  3. Step 3: Cross multiply
    2,325.63x = 3,494.84 × 1,230.77
  4. Step 4: Simplify right side
    2,325.63x = 4,301,346.81
  5. Step 5: Solve for x
    x = 4,301,346.81/2,325.63
  6. Step 6: Final answer
    x = 1,849.54

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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.