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Finding the Fourth Proportional to 1,485.10, 2,049.54 and 864.10

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Solution

The fourth proportional to 1,485.10, 2,049.54 and 864.10 is: 1,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.10 : 2,049.54 = 864.10 : x
  2. Step 2: Convert to fraction form
    1,485.10/2,049.54 = 864.10/x
  3. Step 3: Cross multiply
    1,485.10x = 2,049.54 × 864.10
  4. Step 4: Simplify right side
    1,485.10x = 1,771,007.51
  5. Step 5: Solve for x
    x = 1,771,007.51/1,485.10
  6. Step 6: Final answer
    x = 1,192.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.