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Finding the Fourth Proportional to 1,395.67, 1,924.95 and 1,022.51

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Solution

The fourth proportional to 1,395.67, 1,924.95 and 1,022.51 is: 1,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.67 : 1,924.95 = 1,022.51 : x
  2. Step 2: Convert to fraction form
    1,395.67/1,924.95 = 1,022.51/x
  3. Step 3: Cross multiply
    1,395.67x = 1,924.95 × 1,022.51
  4. Step 4: Simplify right side
    1,395.67x = 1,968,280.62
  5. Step 5: Solve for x
    x = 1,968,280.62/1,395.67
  6. Step 6: Final answer
    x = 1,410.28

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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.