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Finding the Fourth Proportional to 1,802.33, 2,486.76 and 1,470.23

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Solution

The fourth proportional to 1,802.33, 2,486.76 and 1,470.23 is: 2,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.33 : 2,486.76 = 1,470.23 : x
  2. Step 2: Convert to fraction form
    1,802.33/2,486.76 = 1,470.23/x
  3. Step 3: Cross multiply
    1,802.33x = 2,486.76 × 1,470.23
  4. Step 4: Simplify right side
    1,802.33x = 3,656,109.15
  5. Step 5: Solve for x
    x = 3,656,109.15/1,802.33
  6. Step 6: Final answer
    x = 2,028.55

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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.