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Finding the Fourth Proportional to 2,036.68, 2,810.28 and 1,408.48

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Solution

The fourth proportional to 2,036.68, 2,810.28 and 1,408.48 is: 1,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.68 : 2,810.28 = 1,408.48 : x
  2. Step 2: Convert to fraction form
    2,036.68/2,810.28 = 1,408.48/x
  3. Step 3: Cross multiply
    2,036.68x = 2,810.28 × 1,408.48
  4. Step 4: Simplify right side
    2,036.68x = 3,958,223.17
  5. Step 5: Solve for x
    x = 3,958,223.17/2,036.68
  6. Step 6: Final answer
    x = 1,943.47

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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.