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Finding the Fourth Proportional to 1,588.51, 2,193.16 and 1,294.48

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Solution

The fourth proportional to 1,588.51, 2,193.16 and 1,294.48 is: 1,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.51 : 2,193.16 = 1,294.48 : x
  2. Step 2: Convert to fraction form
    1,588.51/2,193.16 = 1,294.48/x
  3. Step 3: Cross multiply
    1,588.51x = 2,193.16 × 1,294.48
  4. Step 4: Simplify right side
    1,588.51x = 2,838,990.79
  5. Step 5: Solve for x
    x = 2,838,990.79/1,588.51
  6. Step 6: Final answer
    x = 1,787.21

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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.