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Finding the Fourth Proportional to 1,681.63, 2,522.75 and 571.15

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Solution

The fourth proportional to 1,681.63, 2,522.75 and 571.15 is: 856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.63 : 2,522.75 = 571.15 : x
  2. Step 2: Convert to fraction form
    1,681.63/2,522.75 = 571.15/x
  3. Step 3: Cross multiply
    1,681.63x = 2,522.75 × 571.15
  4. Step 4: Simplify right side
    1,681.63x = 1,440,868.96
  5. Step 5: Solve for x
    x = 1,440,868.96/1,681.63
  6. Step 6: Final answer
    x = 856.83

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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.