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Finding the Fourth Proportional to 1,638.45, 2,453.45 and 907.17

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Solution

The fourth proportional to 1,638.45, 2,453.45 and 907.17 is: 1,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.45 : 2,453.45 = 907.17 : x
  2. Step 2: Convert to fraction form
    1,638.45/2,453.45 = 907.17/x
  3. Step 3: Cross multiply
    1,638.45x = 2,453.45 × 907.17
  4. Step 4: Simplify right side
    1,638.45x = 2,225,691.70
  5. Step 5: Solve for x
    x = 2,225,691.70/1,638.45
  6. Step 6: Final answer
    x = 1,358.41

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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.