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Finding the Fourth Proportional to 1,486.81, 2,051.76 and 823.62

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Solution

The fourth proportional to 1,486.81, 2,051.76 and 823.62 is: 1,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.81 : 2,051.76 = 823.62 : x
  2. Step 2: Convert to fraction form
    1,486.81/2,051.76 = 823.62/x
  3. Step 3: Cross multiply
    1,486.81x = 2,051.76 × 823.62
  4. Step 4: Simplify right side
    1,486.81x = 1,689,870.57
  5. Step 5: Solve for x
    x = 1,689,870.57/1,486.81
  6. Step 6: Final answer
    x = 1,136.57

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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.