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Finding the Fourth Proportional to 2,534.88, 3,802.32 and 686.00

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Solution

The fourth proportional to 2,534.88, 3,802.32 and 686.00 is: 1,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.88 : 3,802.32 = 686.00 : x
  2. Step 2: Convert to fraction form
    2,534.88/3,802.32 = 686.00/x
  3. Step 3: Cross multiply
    2,534.88x = 3,802.32 × 686.00
  4. Step 4: Simplify right side
    2,534.88x = 2,608,372.51
  5. Step 5: Solve for x
    x = 2,608,372.51/2,534.88
  6. Step 6: Final answer
    x = 1,028.99

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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.