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Finding the Fourth Proportional to 1,486.31, 2,051.08 and 823.16

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Solution

The fourth proportional to 1,486.31, 2,051.08 and 823.16 is: 1,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.31 : 2,051.08 = 823.16 : x
  2. Step 2: Convert to fraction form
    1,486.31/2,051.08 = 823.16/x
  3. Step 3: Cross multiply
    1,486.31x = 2,051.08 × 823.16
  4. Step 4: Simplify right side
    1,486.31x = 1,688,370.08
  5. Step 5: Solve for x
    x = 1,688,370.08/1,486.31
  6. Step 6: Final answer
    x = 1,135.95

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Why These Related Problems?

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