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Finding the Fourth Proportional to 1,943.47, 2,681.89 and 1,059.22

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Solution

The fourth proportional to 1,943.47, 2,681.89 and 1,059.22 is: 1,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.47 : 2,681.89 = 1,059.22 : x
  2. Step 2: Convert to fraction form
    1,943.47/2,681.89 = 1,059.22/x
  3. Step 3: Cross multiply
    1,943.47x = 2,681.89 × 1,059.22
  4. Step 4: Simplify right side
    1,943.47x = 2,840,711.53
  5. Step 5: Solve for x
    x = 2,840,711.53/1,943.47
  6. Step 6: Final answer
    x = 1,461.67

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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.