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Finding the Fourth Proportional to 1,603.40, 2,213.70 and 1,308.20

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Solution

The fourth proportional to 1,603.40, 2,213.70 and 1,308.20 is: 1,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.40 : 2,213.70 = 1,308.20 : x
  2. Step 2: Convert to fraction form
    1,603.40/2,213.70 = 1,308.20/x
  3. Step 3: Cross multiply
    1,603.40x = 2,213.70 × 1,308.20
  4. Step 4: Simplify right side
    1,603.40x = 2,895,962.34
  5. Step 5: Solve for x
    x = 2,895,962.34/1,603.40
  6. Step 6: Final answer
    x = 1,806.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.