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Finding the Fourth Proportional to 1,683.84, 2,530.26 and 862.66

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Solution

The fourth proportional to 1,683.84, 2,530.26 and 862.66 is: 1,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.84 : 2,530.26 = 862.66 : x
  2. Step 2: Convert to fraction form
    1,683.84/2,530.26 = 862.66/x
  3. Step 3: Cross multiply
    1,683.84x = 2,530.26 × 862.66
  4. Step 4: Simplify right side
    1,683.84x = 2,182,754.09
  5. Step 5: Solve for x
    x = 2,182,754.09/1,683.84
  6. Step 6: Final answer
    x = 1,296.30

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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.