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Finding the Fourth Proportional to 1,827.12, 2,504.51 and 1,802.51

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Solution

The fourth proportional to 1,827.12, 2,504.51 and 1,802.51 is: 2,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.12 : 2,504.51 = 1,802.51 : x
  2. Step 2: Convert to fraction form
    1,827.12/2,504.51 = 1,802.51/x
  3. Step 3: Cross multiply
    1,827.12x = 2,504.51 × 1,802.51
  4. Step 4: Simplify right side
    1,827.12x = 4,514,396.30
  5. Step 5: Solve for x
    x = 4,514,396.30/1,827.12
  6. Step 6: Final answer
    x = 2,470.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.