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Finding the Fourth Proportional to 1,592.09, 2,386.79 and 667.21

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Solution

The fourth proportional to 1,592.09, 2,386.79 and 667.21 is: 1,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.09 : 2,386.79 = 667.21 : x
  2. Step 2: Convert to fraction form
    1,592.09/2,386.79 = 667.21/x
  3. Step 3: Cross multiply
    1,592.09x = 2,386.79 × 667.21
  4. Step 4: Simplify right side
    1,592.09x = 1,592,474.89
  5. Step 5: Solve for x
    x = 1,592,474.89/1,592.09
  6. Step 6: Final answer
    x = 1,000.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.