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Finding the Fourth Proportional to 2,802.40, 4,184.04 and 2,525.92

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Solution

The fourth proportional to 2,802.40, 4,184.04 and 2,525.92 is: 3,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.40 : 4,184.04 = 2,525.92 : x
  2. Step 2: Convert to fraction form
    2,802.40/4,184.04 = 2,525.92/x
  3. Step 3: Cross multiply
    2,802.40x = 4,184.04 × 2,525.92
  4. Step 4: Simplify right side
    2,802.40x = 10,568,550.32
  5. Step 5: Solve for x
    x = 10,568,550.32/2,802.40
  6. Step 6: Final answer
    x = 3,771.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.