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Finding the Fourth Proportional to 1,971.69, 2,720.16 and 1,131.93

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Solution

The fourth proportional to 1,971.69, 2,720.16 and 1,131.93 is: 1,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.69 : 2,720.16 = 1,131.93 : x
  2. Step 2: Convert to fraction form
    1,971.69/2,720.16 = 1,131.93/x
  3. Step 3: Cross multiply
    1,971.69x = 2,720.16 × 1,131.93
  4. Step 4: Simplify right side
    1,971.69x = 3,079,030.71
  5. Step 5: Solve for x
    x = 3,079,030.71/1,971.69
  6. Step 6: Final answer
    x = 1,561.62

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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.