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Finding the Fourth Proportional to 2,283.58, 3,428.31 and 1,188.70

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Solution

The fourth proportional to 2,283.58, 3,428.31 and 1,188.70 is: 1,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.58 : 3,428.31 = 1,188.70 : x
  2. Step 2: Convert to fraction form
    2,283.58/3,428.31 = 1,188.70/x
  3. Step 3: Cross multiply
    2,283.58x = 3,428.31 × 1,188.70
  4. Step 4: Simplify right side
    2,283.58x = 4,075,232.10
  5. Step 5: Solve for x
    x = 4,075,232.10/2,283.58
  6. Step 6: Final answer
    x = 1,784.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.