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Finding the Fourth Proportional to 1,685.84, 2,326.29 and 987.62

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Solution

The fourth proportional to 1,685.84, 2,326.29 and 987.62 is: 1,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.84 : 2,326.29 = 987.62 : x
  2. Step 2: Convert to fraction form
    1,685.84/2,326.29 = 987.62/x
  3. Step 3: Cross multiply
    1,685.84x = 2,326.29 × 987.62
  4. Step 4: Simplify right side
    1,685.84x = 2,297,490.53
  5. Step 5: Solve for x
    x = 2,297,490.53/1,685.84
  6. Step 6: Final answer
    x = 1,362.82

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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.