Home / 1,448.12-1,998.70-982.52

Finding the Fourth Proportional to 1,448.12, 1,998.70 and 982.52

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Solution

The fourth proportional to 1,448.12, 1,998.70 and 982.52 is: 1,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.12 : 1,998.70 = 982.52 : x
  2. Step 2: Convert to fraction form
    1,448.12/1,998.70 = 982.52/x
  3. Step 3: Cross multiply
    1,448.12x = 1,998.70 × 982.52
  4. Step 4: Simplify right side
    1,448.12x = 1,963,762.72
  5. Step 5: Solve for x
    x = 1,963,762.72/1,448.12
  6. Step 6: Final answer
    x = 1,356.08

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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.