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Finding the Fourth Proportional to 1,130.38, 1,698.18 and 1,083.67

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Solution

The fourth proportional to 1,130.38, 1,698.18 and 1,083.67 is: 1,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.38 : 1,698.18 = 1,083.67 : x
  2. Step 2: Convert to fraction form
    1,130.38/1,698.18 = 1,083.67/x
  3. Step 3: Cross multiply
    1,130.38x = 1,698.18 × 1,083.67
  4. Step 4: Simplify right side
    1,130.38x = 1,840,268.29
  5. Step 5: Solve for x
    x = 1,840,268.29/1,130.38
  6. Step 6: Final answer
    x = 1,628.01

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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.