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Finding the Fourth Proportional to 1,486.47, 2,051.34 and 823.34

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Solution

The fourth proportional to 1,486.47, 2,051.34 and 823.34 is: 1,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.47 : 2,051.34 = 823.34 : x
  2. Step 2: Convert to fraction form
    1,486.47/2,051.34 = 823.34/x
  3. Step 3: Cross multiply
    1,486.47x = 2,051.34 × 823.34
  4. Step 4: Simplify right side
    1,486.47x = 1,688,935.90
  5. Step 5: Solve for x
    x = 1,688,935.90/1,486.47
  6. Step 6: Final answer
    x = 1,136.21

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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.