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Finding the Fourth Proportional to 1,402.18, 2,103.62 and 428.22

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Solution

The fourth proportional to 1,402.18, 2,103.62 and 428.22 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.18 : 2,103.62 = 428.22 : x
  2. Step 2: Convert to fraction form
    1,402.18/2,103.62 = 428.22/x
  3. Step 3: Cross multiply
    1,402.18x = 2,103.62 × 428.22
  4. Step 4: Simplify right side
    1,402.18x = 900,810.02
  5. Step 5: Solve for x
    x = 900,810.02/1,402.18
  6. Step 6: Final answer
    x = 642.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.