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Finding the Fourth Proportional to 1,497.31, 2,242.99 and 1,189.69

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Solution

The fourth proportional to 1,497.31, 2,242.99 and 1,189.69 is: 1,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.31 : 2,242.99 = 1,189.69 : x
  2. Step 2: Convert to fraction form
    1,497.31/2,242.99 = 1,189.69/x
  3. Step 3: Cross multiply
    1,497.31x = 2,242.99 × 1,189.69
  4. Step 4: Simplify right side
    1,497.31x = 2,668,462.77
  5. Step 5: Solve for x
    x = 2,668,462.77/1,497.31
  6. Step 6: Final answer
    x = 1,782.17

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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.