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Finding the Fourth Proportional to 1,848.48, 2,770.08 and 1,362.24

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Solution

The fourth proportional to 1,848.48, 2,770.08 and 1,362.24 is: 2,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.48 : 2,770.08 = 1,362.24 : x
  2. Step 2: Convert to fraction form
    1,848.48/2,770.08 = 1,362.24/x
  3. Step 3: Cross multiply
    1,848.48x = 2,770.08 × 1,362.24
  4. Step 4: Simplify right side
    1,848.48x = 3,773,513.78
  5. Step 5: Solve for x
    x = 3,773,513.78/1,848.48
  6. Step 6: Final answer
    x = 2,041.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.