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Finding the Fourth Proportional to 1,890.45, 2,828.25 and 1,242.45

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Solution

The fourth proportional to 1,890.45, 2,828.25 and 1,242.45 is: 1,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.45 : 2,828.25 = 1,242.45 : x
  2. Step 2: Convert to fraction form
    1,890.45/2,828.25 = 1,242.45/x
  3. Step 3: Cross multiply
    1,890.45x = 2,828.25 × 1,242.45
  4. Step 4: Simplify right side
    1,890.45x = 3,513,959.21
  5. Step 5: Solve for x
    x = 3,513,959.21/1,890.45
  6. Step 6: Final answer
    x = 1,858.80

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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.