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Finding the Fourth Proportional to 1,486.27, 2,051.16 and 823.18

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Solution

The fourth proportional to 1,486.27, 2,051.16 and 823.18 is: 1,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.27 : 2,051.16 = 823.18 : x
  2. Step 2: Convert to fraction form
    1,486.27/2,051.16 = 823.18/x
  3. Step 3: Cross multiply
    1,486.27x = 2,051.16 × 823.18
  4. Step 4: Simplify right side
    1,486.27x = 1,688,479.54
  5. Step 5: Solve for x
    x = 1,688,479.54/1,486.27
  6. Step 6: Final answer
    x = 1,136.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.