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Finding the Fourth Proportional to 1,681.34, 2,521.49 and 511.30

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Solution

The fourth proportional to 1,681.34, 2,521.49 and 511.30 is: 766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.34 : 2,521.49 = 511.30 : x
  2. Step 2: Convert to fraction form
    1,681.34/2,521.49 = 511.30/x
  3. Step 3: Cross multiply
    1,681.34x = 2,521.49 × 511.30
  4. Step 4: Simplify right side
    1,681.34x = 1,289,237.84
  5. Step 5: Solve for x
    x = 1,289,237.84/1,681.34
  6. Step 6: Final answer
    x = 766.79

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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.