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Finding the Fourth Proportional to 1,486.71, 2,051.47 and 823.47

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Solution

The fourth proportional to 1,486.71, 2,051.47 and 823.47 is: 1,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.71 : 2,051.47 = 823.47 : x
  2. Step 2: Convert to fraction form
    1,486.71/2,051.47 = 823.47/x
  3. Step 3: Cross multiply
    1,486.71x = 2,051.47 × 823.47
  4. Step 4: Simplify right side
    1,486.71x = 1,689,324.00
  5. Step 5: Solve for x
    x = 1,689,324.00/1,486.71
  6. Step 6: Final answer
    x = 1,136.28

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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.