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Finding the Fourth Proportional to 1,386.23, 2,075.49 and 897.80

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Solution

The fourth proportional to 1,386.23, 2,075.49 and 897.80 is: 1,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.23 : 2,075.49 = 897.80 : x
  2. Step 2: Convert to fraction form
    1,386.23/2,075.49 = 897.80/x
  3. Step 3: Cross multiply
    1,386.23x = 2,075.49 × 897.80
  4. Step 4: Simplify right side
    1,386.23x = 1,863,364.54
  5. Step 5: Solve for x
    x = 1,863,364.54/1,386.23
  6. Step 6: Final answer
    x = 1,344.20

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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.