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Finding the Fourth Proportional to 1,485.99, 2,048.76 and 1,219.45

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Solution

The fourth proportional to 1,485.99, 2,048.76 and 1,219.45 is: 1,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.99 : 2,048.76 = 1,219.45 : x
  2. Step 2: Convert to fraction form
    1,485.99/2,048.76 = 1,219.45/x
  3. Step 3: Cross multiply
    1,485.99x = 2,048.76 × 1,219.45
  4. Step 4: Simplify right side
    1,485.99x = 2,498,360.38
  5. Step 5: Solve for x
    x = 2,498,360.38/1,485.99
  6. Step 6: Final answer
    x = 1,681.28

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Why These Related Problems?

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