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Finding the Fourth Proportional to 1,887.70, 2,600.17 and 1,588.59

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Solution

The fourth proportional to 1,887.70, 2,600.17 and 1,588.59 is: 2,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.70 : 2,600.17 = 1,588.59 : x
  2. Step 2: Convert to fraction form
    1,887.70/2,600.17 = 1,588.59/x
  3. Step 3: Cross multiply
    1,887.70x = 2,600.17 × 1,588.59
  4. Step 4: Simplify right side
    1,887.70x = 4,130,604.06
  5. Step 5: Solve for x
    x = 4,130,604.06/1,887.70
  6. Step 6: Final answer
    x = 2,188.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.