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Finding the Fourth Proportional to 1,638.77, 2,250.48 and 1,402.72

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Solution

The fourth proportional to 1,638.77, 2,250.48 and 1,402.72 is: 1,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.77 : 2,250.48 = 1,402.72 : x
  2. Step 2: Convert to fraction form
    1,638.77/2,250.48 = 1,402.72/x
  3. Step 3: Cross multiply
    1,638.77x = 2,250.48 × 1,402.72
  4. Step 4: Simplify right side
    1,638.77x = 3,156,792.94
  5. Step 5: Solve for x
    x = 3,156,792.94/1,638.77
  6. Step 6: Final answer
    x = 1,926.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.