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Finding the Fourth Proportional to 2,358.44, 3,539.27 and 1,205

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Solution

The fourth proportional to 2,358.44, 3,539.27 and 1,205 is: 1,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.44 : 3,539.27 = 1,205 : x
  2. Step 2: Convert to fraction form
    2,358.44/3,539.27 = 1,205/x
  3. Step 3: Cross multiply
    2,358.44x = 3,539.27 × 1,205
  4. Step 4: Simplify right side
    2,358.44x = 4,264,820.35
  5. Step 5: Solve for x
    x = 4,264,820.35/2,358.44
  6. Step 6: Final answer
    x = 1,808.32

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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.