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Finding the Fourth Proportional to 2,103.60, 3,154.58 and 804.36

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Solution

The fourth proportional to 2,103.60, 3,154.58 and 804.36 is: 1,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.60 : 3,154.58 = 804.36 : x
  2. Step 2: Convert to fraction form
    2,103.60/3,154.58 = 804.36/x
  3. Step 3: Cross multiply
    2,103.60x = 3,154.58 × 804.36
  4. Step 4: Simplify right side
    2,103.60x = 2,537,417.97
  5. Step 5: Solve for x
    x = 2,537,417.97/2,103.60
  6. Step 6: Final answer
    x = 1,206.23

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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.