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Finding the Fourth Proportional to 2,228.70, 3,075.93 and 1,390.29

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Solution

The fourth proportional to 2,228.70, 3,075.93 and 1,390.29 is: 1,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.70 : 3,075.93 = 1,390.29 : x
  2. Step 2: Convert to fraction form
    2,228.70/3,075.93 = 1,390.29/x
  3. Step 3: Cross multiply
    2,228.70x = 3,075.93 × 1,390.29
  4. Step 4: Simplify right side
    2,228.70x = 4,276,434.72
  5. Step 5: Solve for x
    x = 4,276,434.72/2,228.70
  6. Step 6: Final answer
    x = 1,918.80

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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.