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Finding the Fourth Proportional to 1,681.09, 2,523.15 and 859.93

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Solution

The fourth proportional to 1,681.09, 2,523.15 and 859.93 is: 1,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.09 : 2,523.15 = 859.93 : x
  2. Step 2: Convert to fraction form
    1,681.09/2,523.15 = 859.93/x
  3. Step 3: Cross multiply
    1,681.09x = 2,523.15 × 859.93
  4. Step 4: Simplify right side
    1,681.09x = 2,169,732.38
  5. Step 5: Solve for x
    x = 2,169,732.38/1,681.09
  6. Step 6: Final answer
    x = 1,290.67

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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.