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Finding the Fourth Proportional to 1,904.54, 2,857.72 and 672.53

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Solution

The fourth proportional to 1,904.54, 2,857.72 and 672.53 is: 1,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.54 : 2,857.72 = 672.53 : x
  2. Step 2: Convert to fraction form
    1,904.54/2,857.72 = 672.53/x
  3. Step 3: Cross multiply
    1,904.54x = 2,857.72 × 672.53
  4. Step 4: Simplify right side
    1,904.54x = 1,921,899.07
  5. Step 5: Solve for x
    x = 1,921,899.07/1,904.54
  6. Step 6: Final answer
    x = 1,009.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.