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Finding the Fourth Proportional to 1,695.47, 2,543.81 and 1,233.77

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Solution

The fourth proportional to 1,695.47, 2,543.81 and 1,233.77 is: 1,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.47 : 2,543.81 = 1,233.77 : x
  2. Step 2: Convert to fraction form
    1,695.47/2,543.81 = 1,233.77/x
  3. Step 3: Cross multiply
    1,695.47x = 2,543.81 × 1,233.77
  4. Step 4: Simplify right side
    1,695.47x = 3,138,457.58
  5. Step 5: Solve for x
    x = 3,138,457.58/1,695.47
  6. Step 6: Final answer
    x = 1,851.09

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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.