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Finding the Fourth Proportional to 1,588.63, 2,371.25 and 1,474.51

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Solution

The fourth proportional to 1,588.63, 2,371.25 and 1,474.51 is: 2,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.63 : 2,371.25 = 1,474.51 : x
  2. Step 2: Convert to fraction form
    1,588.63/2,371.25 = 1,474.51/x
  3. Step 3: Cross multiply
    1,588.63x = 2,371.25 × 1,474.51
  4. Step 4: Simplify right side
    1,588.63x = 3,496,431.84
  5. Step 5: Solve for x
    x = 3,496,431.84/1,588.63
  6. Step 6: Final answer
    x = 2,200.91

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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.