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Finding the Fourth Proportional to 1,162.09, 1,744.19 and 1,038.51

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Solution

The fourth proportional to 1,162.09, 1,744.19 and 1,038.51 is: 1,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.09 : 1,744.19 = 1,038.51 : x
  2. Step 2: Convert to fraction form
    1,162.09/1,744.19 = 1,038.51/x
  3. Step 3: Cross multiply
    1,162.09x = 1,744.19 × 1,038.51
  4. Step 4: Simplify right side
    1,162.09x = 1,811,344.84
  5. Step 5: Solve for x
    x = 1,811,344.84/1,162.09
  6. Step 6: Final answer
    x = 1,558.70

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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.