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Finding the Fourth Proportional to 1,559.81, 2,337 and 1,193.51

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Solution

The fourth proportional to 1,559.81, 2,337 and 1,193.51 is: 1,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.81 : 2,337 = 1,193.51 : x
  2. Step 2: Convert to fraction form
    1,559.81/2,337 = 1,193.51/x
  3. Step 3: Cross multiply
    1,559.81x = 2,337 × 1,193.51
  4. Step 4: Simplify right side
    1,559.81x = 2,789,221.19
  5. Step 5: Solve for x
    x = 2,789,221.19/1,559.81
  6. Step 6: Final answer
    x = 1,788.19

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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.