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Finding the Fourth Proportional to 1,865.45, 2,574.24 and 1,026.07

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Solution

The fourth proportional to 1,865.45, 2,574.24 and 1,026.07 is: 1,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.45 : 2,574.24 = 1,026.07 : x
  2. Step 2: Convert to fraction form
    1,865.45/2,574.24 = 1,026.07/x
  3. Step 3: Cross multiply
    1,865.45x = 2,574.24 × 1,026.07
  4. Step 4: Simplify right side
    1,865.45x = 2,641,350.44
  5. Step 5: Solve for x
    x = 2,641,350.44/1,865.45
  6. Step 6: Final answer
    x = 1,415.93

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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.