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Finding the Fourth Proportional to 2,407.40, 3,603.90 and 2,148.20

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Solution

The fourth proportional to 2,407.40, 3,603.90 and 2,148.20 is: 3,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.40 : 3,603.90 = 2,148.20 : x
  2. Step 2: Convert to fraction form
    2,407.40/3,603.90 = 2,148.20/x
  3. Step 3: Cross multiply
    2,407.40x = 3,603.90 × 2,148.20
  4. Step 4: Simplify right side
    2,407.40x = 7,741,897.98
  5. Step 5: Solve for x
    x = 7,741,897.98/2,407.40
  6. Step 6: Final answer
    x = 3,215.88

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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.