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Finding the Fourth Proportional to 1,588.75, 2,192.47 and 880.59

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Solution

The fourth proportional to 1,588.75, 2,192.47 and 880.59 is: 1,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.75 : 2,192.47 = 880.59 : x
  2. Step 2: Convert to fraction form
    1,588.75/2,192.47 = 880.59/x
  3. Step 3: Cross multiply
    1,588.75x = 2,192.47 × 880.59
  4. Step 4: Simplify right side
    1,588.75x = 1,930,673.18
  5. Step 5: Solve for x
    x = 1,930,673.18/1,588.75
  6. Step 6: Final answer
    x = 1,215.22

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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.