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Finding the Fourth Proportional to 1,453.86, 2,006.94 and 1,034.28

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Solution

The fourth proportional to 1,453.86, 2,006.94 and 1,034.28 is: 1,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.86 : 2,006.94 = 1,034.28 : x
  2. Step 2: Convert to fraction form
    1,453.86/2,006.94 = 1,034.28/x
  3. Step 3: Cross multiply
    1,453.86x = 2,006.94 × 1,034.28
  4. Step 4: Simplify right side
    1,453.86x = 2,075,737.90
  5. Step 5: Solve for x
    x = 2,075,737.90/1,453.86
  6. Step 6: Final answer
    x = 1,427.74

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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.