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Finding the Fourth Proportional to 1,712.59, 2,361.07 and 1,338.10

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Solution

The fourth proportional to 1,712.59, 2,361.07 and 1,338.10 is: 1,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.59 : 2,361.07 = 1,338.10 : x
  2. Step 2: Convert to fraction form
    1,712.59/2,361.07 = 1,338.10/x
  3. Step 3: Cross multiply
    1,712.59x = 2,361.07 × 1,338.10
  4. Step 4: Simplify right side
    1,712.59x = 3,159,347.77
  5. Step 5: Solve for x
    x = 3,159,347.77/1,712.59
  6. Step 6: Final answer
    x = 1,844.78

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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.