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Finding the Fourth Proportional to 1,486.78, 2,048.07 and 1,420.54

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Solution

The fourth proportional to 1,486.78, 2,048.07 and 1,420.54 is: 1,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.78 : 2,048.07 = 1,420.54 : x
  2. Step 2: Convert to fraction form
    1,486.78/2,048.07 = 1,420.54/x
  3. Step 3: Cross multiply
    1,486.78x = 2,048.07 × 1,420.54
  4. Step 4: Simplify right side
    1,486.78x = 2,909,365.36
  5. Step 5: Solve for x
    x = 2,909,365.36/1,486.78
  6. Step 6: Final answer
    x = 1,956.82

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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.