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Finding the Fourth Proportional to 2,944.81, 4,064.00 and 1,686.24

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Solution

The fourth proportional to 2,944.81, 4,064.00 and 1,686.24 is: 2,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.81 : 4,064.00 = 1,686.24 : x
  2. Step 2: Convert to fraction form
    2,944.81/4,064.00 = 1,686.24/x
  3. Step 3: Cross multiply
    2,944.81x = 4,064.00 × 1,686.24
  4. Step 4: Simplify right side
    2,944.81x = 6,852,887.10
  5. Step 5: Solve for x
    x = 6,852,887.10/2,944.81
  6. Step 6: Final answer
    x = 2,327.11

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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.