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Finding the Fourth Proportional to 2,151.81, 2,969.27 and 1,312.11

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Solution

The fourth proportional to 2,151.81, 2,969.27 and 1,312.11 is: 1,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.81 : 2,969.27 = 1,312.11 : x
  2. Step 2: Convert to fraction form
    2,151.81/2,969.27 = 1,312.11/x
  3. Step 3: Cross multiply
    2,151.81x = 2,969.27 × 1,312.11
  4. Step 4: Simplify right side
    2,151.81x = 3,895,997.29
  5. Step 5: Solve for x
    x = 3,895,997.29/2,151.81
  6. Step 6: Final answer
    x = 1,810.57

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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.