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Finding the Fourth Proportional to 1,871.33, 2,583.50 and 1,242.71

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Solution

The fourth proportional to 1,871.33, 2,583.50 and 1,242.71 is: 1,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.33 : 2,583.50 = 1,242.71 : x
  2. Step 2: Convert to fraction form
    1,871.33/2,583.50 = 1,242.71/x
  3. Step 3: Cross multiply
    1,871.33x = 2,583.50 × 1,242.71
  4. Step 4: Simplify right side
    1,871.33x = 3,210,541.29
  5. Step 5: Solve for x
    x = 3,210,541.29/1,871.33
  6. Step 6: Final answer
    x = 1,715.65

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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.