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Finding the Fourth Proportional to 1,483.57, 2,048.16 and 986.89

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Solution

The fourth proportional to 1,483.57, 2,048.16 and 986.89 is: 1,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.57 : 2,048.16 = 986.89 : x
  2. Step 2: Convert to fraction form
    1,483.57/2,048.16 = 986.89/x
  3. Step 3: Cross multiply
    1,483.57x = 2,048.16 × 986.89
  4. Step 4: Simplify right side
    1,483.57x = 2,021,308.62
  5. Step 5: Solve for x
    x = 2,021,308.62/1,483.57
  6. Step 6: Final answer
    x = 1,362.46

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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.