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Finding the Fourth Proportional to 1,415.16, 1,952.10 and 825.62

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Solution

The fourth proportional to 1,415.16, 1,952.10 and 825.62 is: 1,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.16 : 1,952.10 = 825.62 : x
  2. Step 2: Convert to fraction form
    1,415.16/1,952.10 = 825.62/x
  3. Step 3: Cross multiply
    1,415.16x = 1,952.10 × 825.62
  4. Step 4: Simplify right side
    1,415.16x = 1,611,683.04
  5. Step 5: Solve for x
    x = 1,611,683.04/1,415.16
  6. Step 6: Final answer
    x = 1,138.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.