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Finding the Fourth Proportional to 2,471.40, 3,411.72 and 1,973.52

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Solution

The fourth proportional to 2,471.40, 3,411.72 and 1,973.52 is: 2,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.40 : 3,411.72 = 1,973.52 : x
  2. Step 2: Convert to fraction form
    2,471.40/3,411.72 = 1,973.52/x
  3. Step 3: Cross multiply
    2,471.40x = 3,411.72 × 1,973.52
  4. Step 4: Simplify right side
    2,471.40x = 6,733,097.65
  5. Step 5: Solve for x
    x = 6,733,097.65/2,471.40
  6. Step 6: Final answer
    x = 2,724.41

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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.