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Finding the Fourth Proportional to 2,967.16, 4,449.30 and 1,018.84

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Solution

The fourth proportional to 2,967.16, 4,449.30 and 1,018.84 is: 1,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.16 : 4,449.30 = 1,018.84 : x
  2. Step 2: Convert to fraction form
    2,967.16/4,449.30 = 1,018.84/x
  3. Step 3: Cross multiply
    2,967.16x = 4,449.30 × 1,018.84
  4. Step 4: Simplify right side
    2,967.16x = 4,533,124.81
  5. Step 5: Solve for x
    x = 4,533,124.81/2,967.16
  6. Step 6: Final answer
    x = 1,527.77

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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.