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Finding the Fourth Proportional to 1,485.69, 2,048.94 and 1,042.80

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Solution

The fourth proportional to 1,485.69, 2,048.94 and 1,042.80 is: 1,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.69 : 2,048.94 = 1,042.80 : x
  2. Step 2: Convert to fraction form
    1,485.69/2,048.94 = 1,042.80/x
  3. Step 3: Cross multiply
    1,485.69x = 2,048.94 × 1,042.80
  4. Step 4: Simplify right side
    1,485.69x = 2,136,634.63
  5. Step 5: Solve for x
    x = 2,136,634.63/1,485.69
  6. Step 6: Final answer
    x = 1,438.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.