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Finding the Fourth Proportional to 1,681.84, 2,523.18 and 586.21

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Solution

The fourth proportional to 1,681.84, 2,523.18 and 586.21 is: 879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.84 : 2,523.18 = 586.21 : x
  2. Step 2: Convert to fraction form
    1,681.84/2,523.18 = 586.21/x
  3. Step 3: Cross multiply
    1,681.84x = 2,523.18 × 586.21
  4. Step 4: Simplify right side
    1,681.84x = 1,479,110.42
  5. Step 5: Solve for x
    x = 1,479,110.42/1,681.84
  6. Step 6: Final answer
    x = 879.46

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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.