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Finding the Fourth Proportional to 1,685.89, 2,530.59 and 1,492.21

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Solution

The fourth proportional to 1,685.89, 2,530.59 and 1,492.21 is: 2,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.89 : 2,530.59 = 1,492.21 : x
  2. Step 2: Convert to fraction form
    1,685.89/2,530.59 = 1,492.21/x
  3. Step 3: Cross multiply
    1,685.89x = 2,530.59 × 1,492.21
  4. Step 4: Simplify right side
    1,685.89x = 3,776,171.70
  5. Step 5: Solve for x
    x = 3,776,171.70/1,685.89
  6. Step 6: Final answer
    x = 2,239.87

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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.