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Finding the Fourth Proportional to 1,588.72, 2,370.72 and 1,425.28

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Solution

The fourth proportional to 1,588.72, 2,370.72 and 1,425.28 is: 2,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.72 : 2,370.72 = 1,425.28 : x
  2. Step 2: Convert to fraction form
    1,588.72/2,370.72 = 1,425.28/x
  3. Step 3: Cross multiply
    1,588.72x = 2,370.72 × 1,425.28
  4. Step 4: Simplify right side
    1,588.72x = 3,378,939.80
  5. Step 5: Solve for x
    x = 3,378,939.80/1,588.72
  6. Step 6: Final answer
    x = 2,126.83

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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.