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Finding the Fourth Proportional to 1,480.06, 2,214.60 and 864.04

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Solution

The fourth proportional to 1,480.06, 2,214.60 and 864.04 is: 1,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.06 : 2,214.60 = 864.04 : x
  2. Step 2: Convert to fraction form
    1,480.06/2,214.60 = 864.04/x
  3. Step 3: Cross multiply
    1,480.06x = 2,214.60 × 864.04
  4. Step 4: Simplify right side
    1,480.06x = 1,913,502.98
  5. Step 5: Solve for x
    x = 1,913,502.98/1,480.06
  6. Step 6: Final answer
    x = 1,292.86

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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.