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Finding the Fourth Proportional to 2,560.04, 3,838.99 and 804.45

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Solution

The fourth proportional to 2,560.04, 3,838.99 and 804.45 is: 1,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.04 : 3,838.99 = 804.45 : x
  2. Step 2: Convert to fraction form
    2,560.04/3,838.99 = 804.45/x
  3. Step 3: Cross multiply
    2,560.04x = 3,838.99 × 804.45
  4. Step 4: Simplify right side
    2,560.04x = 3,088,275.51
  5. Step 5: Solve for x
    x = 3,088,275.51/2,560.04
  6. Step 6: Final answer
    x = 1,206.34

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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.