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Finding the Fourth Proportional to 1,486.42, 2,051.33 and 823.28

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Solution

The fourth proportional to 1,486.42, 2,051.33 and 823.28 is: 1,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.42 : 2,051.33 = 823.28 : x
  2. Step 2: Convert to fraction form
    1,486.42/2,051.33 = 823.28/x
  3. Step 3: Cross multiply
    1,486.42x = 2,051.33 × 823.28
  4. Step 4: Simplify right side
    1,486.42x = 1,688,804.59
  5. Step 5: Solve for x
    x = 1,688,804.59/1,486.42
  6. Step 6: Final answer
    x = 1,136.15

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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.