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Finding the Fourth Proportional to 3,014.58, 4,530.39 and 1,782.18

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Solution

The fourth proportional to 3,014.58, 4,530.39 and 1,782.18 is: 2,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.58 : 4,530.39 = 1,782.18 : x
  2. Step 2: Convert to fraction form
    3,014.58/4,530.39 = 1,782.18/x
  3. Step 3: Cross multiply
    3,014.58x = 4,530.39 × 1,782.18
  4. Step 4: Simplify right side
    3,014.58x = 8,073,970.45
  5. Step 5: Solve for x
    x = 8,073,970.45/3,014.58
  6. Step 6: Final answer
    x = 2,678.31

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