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Finding the Fourth Proportional to 2,172.69, 2,999.75 and 1,346.13

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Solution

The fourth proportional to 2,172.69, 2,999.75 and 1,346.13 is: 1,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.69 : 2,999.75 = 1,346.13 : x
  2. Step 2: Convert to fraction form
    2,172.69/2,999.75 = 1,346.13/x
  3. Step 3: Cross multiply
    2,172.69x = 2,999.75 × 1,346.13
  4. Step 4: Simplify right side
    2,172.69x = 4,038,053.47
  5. Step 5: Solve for x
    x = 4,038,053.47/2,172.69
  6. Step 6: Final answer
    x = 1,858.55

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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.