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Finding the Fourth Proportional to 1,945.71, 2,903.94 and 1,780.47

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Solution

The fourth proportional to 1,945.71, 2,903.94 and 1,780.47 is: 2,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.71 : 2,903.94 = 1,780.47 : x
  2. Step 2: Convert to fraction form
    1,945.71/2,903.94 = 1,780.47/x
  3. Step 3: Cross multiply
    1,945.71x = 2,903.94 × 1,780.47
  4. Step 4: Simplify right side
    1,945.71x = 5,170,378.05
  5. Step 5: Solve for x
    x = 5,170,378.05/1,945.71
  6. Step 6: Final answer
    x = 2,657.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.