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Finding the Fourth Proportional to 1,541.82, 2,312.72 and 720.48

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Solution

The fourth proportional to 1,541.82, 2,312.72 and 720.48 is: 1,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.82 : 2,312.72 = 720.48 : x
  2. Step 2: Convert to fraction form
    1,541.82/2,312.72 = 720.48/x
  3. Step 3: Cross multiply
    1,541.82x = 2,312.72 × 720.48
  4. Step 4: Simplify right side
    1,541.82x = 1,666,268.51
  5. Step 5: Solve for x
    x = 1,666,268.51/1,541.82
  6. Step 6: Final answer
    x = 1,080.72

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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.