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Finding the Fourth Proportional to 1,802.47, 2,695.47 and 1,310.53

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Solution

The fourth proportional to 1,802.47, 2,695.47 and 1,310.53 is: 1,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.47 : 2,695.47 = 1,310.53 : x
  2. Step 2: Convert to fraction form
    1,802.47/2,695.47 = 1,310.53/x
  3. Step 3: Cross multiply
    1,802.47x = 2,695.47 × 1,310.53
  4. Step 4: Simplify right side
    1,802.47x = 3,532,494.30
  5. Step 5: Solve for x
    x = 3,532,494.30/1,802.47
  6. Step 6: Final answer
    x = 1,959.81

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