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Finding the Fourth Proportional to 1,865.49, 2,574.44 and 1,026.25

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Solution

The fourth proportional to 1,865.49, 2,574.44 and 1,026.25 is: 1,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.49 : 2,574.44 = 1,026.25 : x
  2. Step 2: Convert to fraction form
    1,865.49/2,574.44 = 1,026.25/x
  3. Step 3: Cross multiply
    1,865.49x = 2,574.44 × 1,026.25
  4. Step 4: Simplify right side
    1,865.49x = 2,642,017.14
  5. Step 5: Solve for x
    x = 2,642,017.14/1,865.49
  6. Step 6: Final answer
    x = 1,416.26

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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.