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Finding the Fourth Proportional to 2,251.70, 3,106.45 and 1,504.47

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Solution

The fourth proportional to 2,251.70, 3,106.45 and 1,504.47 is: 2,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.70 : 3,106.45 = 1,504.47 : x
  2. Step 2: Convert to fraction form
    2,251.70/3,106.45 = 1,504.47/x
  3. Step 3: Cross multiply
    2,251.70x = 3,106.45 × 1,504.47
  4. Step 4: Simplify right side
    2,251.70x = 4,673,574.36
  5. Step 5: Solve for x
    x = 4,673,574.36/2,251.70
  6. Step 6: Final answer
    x = 2,075.58

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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.