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Finding the Fourth Proportional to 2,833.53, 3,904.80 and 1,888.26

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Solution

The fourth proportional to 2,833.53, 3,904.80 and 1,888.26 is: 2,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.53 : 3,904.80 = 1,888.26 : x
  2. Step 2: Convert to fraction form
    2,833.53/3,904.80 = 1,888.26/x
  3. Step 3: Cross multiply
    2,833.53x = 3,904.80 × 1,888.26
  4. Step 4: Simplify right side
    2,833.53x = 7,373,277.65
  5. Step 5: Solve for x
    x = 7,373,277.65/2,833.53
  6. Step 6: Final answer
    x = 2,602.15

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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.