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Finding the Fourth Proportional to 2,925.76, 4,382.40 and 2,305.28

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Solution

The fourth proportional to 2,925.76, 4,382.40 and 2,305.28 is: 3,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.76 : 4,382.40 = 2,305.28 : x
  2. Step 2: Convert to fraction form
    2,925.76/4,382.40 = 2,305.28/x
  3. Step 3: Cross multiply
    2,925.76x = 4,382.40 × 2,305.28
  4. Step 4: Simplify right side
    2,925.76x = 10,102,659.07
  5. Step 5: Solve for x
    x = 10,102,659.07/2,925.76
  6. Step 6: Final answer
    x = 3,453.00

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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.