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Finding the Fourth Proportional to 1,681.63, 2,520.82 and 860.29

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Solution

The fourth proportional to 1,681.63, 2,520.82 and 860.29 is: 1,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.63 : 2,520.82 = 860.29 : x
  2. Step 2: Convert to fraction form
    1,681.63/2,520.82 = 860.29/x
  3. Step 3: Cross multiply
    1,681.63x = 2,520.82 × 860.29
  4. Step 4: Simplify right side
    1,681.63x = 2,168,636.24
  5. Step 5: Solve for x
    x = 2,168,636.24/1,681.63
  6. Step 6: Final answer
    x = 1,289.60

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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.