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Finding the Fourth Proportional to 2,967.48, 4,094.64 and 1,848.24

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Solution

The fourth proportional to 2,967.48, 4,094.64 and 1,848.24 is: 2,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.48 : 4,094.64 = 1,848.24 : x
  2. Step 2: Convert to fraction form
    2,967.48/4,094.64 = 1,848.24/x
  3. Step 3: Cross multiply
    2,967.48x = 4,094.64 × 1,848.24
  4. Step 4: Simplify right side
    2,967.48x = 7,567,877.43
  5. Step 5: Solve for x
    x = 7,567,877.43/2,967.48
  6. Step 6: Final answer
    x = 2,550.27

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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.