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Finding the Fourth Proportional to 1,574.41, 2,163.56 and 1,502.14

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Solution

The fourth proportional to 1,574.41, 2,163.56 and 1,502.14 is: 2,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.41 : 2,163.56 = 1,502.14 : x
  2. Step 2: Convert to fraction form
    1,574.41/2,163.56 = 1,502.14/x
  3. Step 3: Cross multiply
    1,574.41x = 2,163.56 × 1,502.14
  4. Step 4: Simplify right side
    1,574.41x = 3,249,968.36
  5. Step 5: Solve for x
    x = 3,249,968.36/1,574.41
  6. Step 6: Final answer
    x = 2,064.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.