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Finding the Fourth Proportional to 2,445.68, 3,375.06 and 1,383.50

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Solution

The fourth proportional to 2,445.68, 3,375.06 and 1,383.50 is: 1,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.68 : 3,375.06 = 1,383.50 : x
  2. Step 2: Convert to fraction form
    2,445.68/3,375.06 = 1,383.50/x
  3. Step 3: Cross multiply
    2,445.68x = 3,375.06 × 1,383.50
  4. Step 4: Simplify right side
    2,445.68x = 4,669,395.51
  5. Step 5: Solve for x
    x = 4,669,395.51/2,445.68
  6. Step 6: Final answer
    x = 1,909.24

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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.