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Finding the Fourth Proportional to 3,303.68, 4,950.74 and 1,823.20

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Solution

The fourth proportional to 3,303.68, 4,950.74 and 1,823.20 is: 2,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.68 : 4,950.74 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    3,303.68/4,950.74 = 1,823.20/x
  3. Step 3: Cross multiply
    3,303.68x = 4,950.74 × 1,823.20
  4. Step 4: Simplify right side
    3,303.68x = 9,026,181.35
  5. Step 5: Solve for x
    x = 9,026,181.35/3,303.68
  6. Step 6: Final answer
    x = 2,732.16

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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.