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Finding the Fourth Proportional to 1,865.51, 2,574.36 and 1,026.21

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Solution

The fourth proportional to 1,865.51, 2,574.36 and 1,026.21 is: 1,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.51 : 2,574.36 = 1,026.21 : x
  2. Step 2: Convert to fraction form
    1,865.51/2,574.36 = 1,026.21/x
  3. Step 3: Cross multiply
    1,865.51x = 2,574.36 × 1,026.21
  4. Step 4: Simplify right side
    1,865.51x = 2,641,833.98
  5. Step 5: Solve for x
    x = 2,641,833.98/1,865.51
  6. Step 6: Final answer
    x = 1,416.15

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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.