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Finding the Fourth Proportional to 2,663.16, 3,674.83 and 1,543.95

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Solution

The fourth proportional to 2,663.16, 3,674.83 and 1,543.95 is: 2,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.16 : 3,674.83 = 1,543.95 : x
  2. Step 2: Convert to fraction form
    2,663.16/3,674.83 = 1,543.95/x
  3. Step 3: Cross multiply
    2,663.16x = 3,674.83 × 1,543.95
  4. Step 4: Simplify right side
    2,663.16x = 5,673,727.68
  5. Step 5: Solve for x
    x = 5,673,727.68/2,663.16
  6. Step 6: Final answer
    x = 2,130.45

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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.