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Finding the Fourth Proportional to 1,610.46, 2,412.03 and 1,574.01

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Solution

The fourth proportional to 1,610.46, 2,412.03 and 1,574.01 is: 2,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.46 : 2,412.03 = 1,574.01 : x
  2. Step 2: Convert to fraction form
    1,610.46/2,412.03 = 1,574.01/x
  3. Step 3: Cross multiply
    1,610.46x = 2,412.03 × 1,574.01
  4. Step 4: Simplify right side
    1,610.46x = 3,796,559.34
  5. Step 5: Solve for x
    x = 3,796,559.34/1,610.46
  6. Step 6: Final answer
    x = 2,357.44

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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.