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Finding the Fourth Proportional to 1,588.99, 2,192.80 and 926.29

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Solution

The fourth proportional to 1,588.99, 2,192.80 and 926.29 is: 1,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.99 : 2,192.80 = 926.29 : x
  2. Step 2: Convert to fraction form
    1,588.99/2,192.80 = 926.29/x
  3. Step 3: Cross multiply
    1,588.99x = 2,192.80 × 926.29
  4. Step 4: Simplify right side
    1,588.99x = 2,031,168.71
  5. Step 5: Solve for x
    x = 2,031,168.71/1,588.99
  6. Step 6: Final answer
    x = 1,278.28

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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.