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Finding the Fourth Proportional to 1,685.67, 2,530.53 and 1,415.13

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Solution

The fourth proportional to 1,685.67, 2,530.53 and 1,415.13 is: 2,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.67 : 2,530.53 = 1,415.13 : x
  2. Step 2: Convert to fraction form
    1,685.67/2,530.53 = 1,415.13/x
  3. Step 3: Cross multiply
    1,685.67x = 2,530.53 × 1,415.13
  4. Step 4: Simplify right side
    1,685.67x = 3,581,028.92
  5. Step 5: Solve for x
    x = 3,581,028.92/1,685.67
  6. Step 6: Final answer
    x = 2,124.39

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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.