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Finding the Fourth Proportional to 1,402.14, 2,102.94 and 536.34

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Solution

The fourth proportional to 1,402.14, 2,102.94 and 536.34 is: 804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.14 : 2,102.94 = 536.34 : x
  2. Step 2: Convert to fraction form
    1,402.14/2,102.94 = 536.34/x
  3. Step 3: Cross multiply
    1,402.14x = 2,102.94 × 536.34
  4. Step 4: Simplify right side
    1,402.14x = 1,127,890.84
  5. Step 5: Solve for x
    x = 1,127,890.84/1,402.14
  6. Step 6: Final answer
    x = 804.41

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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.