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Finding the Fourth Proportional to 2,606.40, 3,908.88 and 962.82

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Solution

The fourth proportional to 2,606.40, 3,908.88 and 962.82 is: 1,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.40 : 3,908.88 = 962.82 : x
  2. Step 2: Convert to fraction form
    2,606.40/3,908.88 = 962.82/x
  3. Step 3: Cross multiply
    2,606.40x = 3,908.88 × 962.82
  4. Step 4: Simplify right side
    2,606.40x = 3,763,547.84
  5. Step 5: Solve for x
    x = 3,763,547.84/2,606.40
  6. Step 6: Final answer
    x = 1,443.96

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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.