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Finding the Fourth Proportional to 2,406.70, 3,594.25 and 2,075.01

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Solution

The fourth proportional to 2,406.70, 3,594.25 and 2,075.01 is: 3,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.70 : 3,594.25 = 2,075.01 : x
  2. Step 2: Convert to fraction form
    2,406.70/3,594.25 = 2,075.01/x
  3. Step 3: Cross multiply
    2,406.70x = 3,594.25 × 2,075.01
  4. Step 4: Simplify right side
    2,406.70x = 7,458,104.69
  5. Step 5: Solve for x
    x = 7,458,104.69/2,406.70
  6. Step 6: Final answer
    x = 3,098.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.