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Finding the Fourth Proportional to 2,228.69, 3,075.80 and 1,345.22

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Solution

The fourth proportional to 2,228.69, 3,075.80 and 1,345.22 is: 1,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.69 : 3,075.80 = 1,345.22 : x
  2. Step 2: Convert to fraction form
    2,228.69/3,075.80 = 1,345.22/x
  3. Step 3: Cross multiply
    2,228.69x = 3,075.80 × 1,345.22
  4. Step 4: Simplify right side
    2,228.69x = 4,137,605.57
  5. Step 5: Solve for x
    x = 4,137,605.57/2,228.69
  6. Step 6: Final answer
    x = 1,856.52

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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.