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Finding the Fourth Proportional to 1,865.70, 2,574.64 and 1,026.44

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Solution

The fourth proportional to 1,865.70, 2,574.64 and 1,026.44 is: 1,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.70 : 2,574.64 = 1,026.44 : x
  2. Step 2: Convert to fraction form
    1,865.70/2,574.64 = 1,026.44/x
  3. Step 3: Cross multiply
    1,865.70x = 2,574.64 × 1,026.44
  4. Step 4: Simplify right side
    1,865.70x = 2,642,713.48
  5. Step 5: Solve for x
    x = 2,642,713.48/1,865.70
  6. Step 6: Final answer
    x = 1,416.47

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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.