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Finding the Fourth Proportional to 2,646.40, 3,970.04 and 1,003.08

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Solution

The fourth proportional to 2,646.40, 3,970.04 and 1,003.08 is: 1,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.40 : 3,970.04 = 1,003.08 : x
  2. Step 2: Convert to fraction form
    2,646.40/3,970.04 = 1,003.08/x
  3. Step 3: Cross multiply
    2,646.40x = 3,970.04 × 1,003.08
  4. Step 4: Simplify right side
    2,646.40x = 3,982,267.72
  5. Step 5: Solve for x
    x = 3,982,267.72/2,646.40
  6. Step 6: Final answer
    x = 1,504.79

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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.