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Finding the Fourth Proportional to 1,681.66, 2,522.54 and 571.05

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Solution

The fourth proportional to 1,681.66, 2,522.54 and 571.05 is: 856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.66 : 2,522.54 = 571.05 : x
  2. Step 2: Convert to fraction form
    1,681.66/2,522.54 = 571.05/x
  3. Step 3: Cross multiply
    1,681.66x = 2,522.54 × 571.05
  4. Step 4: Simplify right side
    1,681.66x = 1,440,497.89
  5. Step 5: Solve for x
    x = 1,440,497.89/1,681.66
  6. Step 6: Final answer
    x = 856.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.