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Finding the Fourth Proportional to 1,548.63, 2,320.83 and 715.20

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Solution

The fourth proportional to 1,548.63, 2,320.83 and 715.20 is: 1,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.63 : 2,320.83 = 715.20 : x
  2. Step 2: Convert to fraction form
    1,548.63/2,320.83 = 715.20/x
  3. Step 3: Cross multiply
    1,548.63x = 2,320.83 × 715.20
  4. Step 4: Simplify right side
    1,548.63x = 1,659,857.62
  5. Step 5: Solve for x
    x = 1,659,857.62/1,548.63
  6. Step 6: Final answer
    x = 1,071.82

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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.