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Finding the Fourth Proportional to 1,172.46, 1,619.10 and 1,015.50

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Solution

The fourth proportional to 1,172.46, 1,619.10 and 1,015.50 is: 1,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.46 : 1,619.10 = 1,015.50 : x
  2. Step 2: Convert to fraction form
    1,172.46/1,619.10 = 1,015.50/x
  3. Step 3: Cross multiply
    1,172.46x = 1,619.10 × 1,015.50
  4. Step 4: Simplify right side
    1,172.46x = 1,644,196.05
  5. Step 5: Solve for x
    x = 1,644,196.05/1,172.46
  6. Step 6: Final answer
    x = 1,402.35

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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.