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Finding the Fourth Proportional to 2,816.77, 3,887.13 and 1,574.77

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Solution

The fourth proportional to 2,816.77, 3,887.13 and 1,574.77 is: 2,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.77 : 3,887.13 = 1,574.77 : x
  2. Step 2: Convert to fraction form
    2,816.77/3,887.13 = 1,574.77/x
  3. Step 3: Cross multiply
    2,816.77x = 3,887.13 × 1,574.77
  4. Step 4: Simplify right side
    2,816.77x = 6,121,335.71
  5. Step 5: Solve for x
    x = 6,121,335.71/2,816.77
  6. Step 6: Final answer
    x = 2,173.18

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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.