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Finding the Fourth Proportional to 2,870.64, 3,956.31 and 2,083.32

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Solution

The fourth proportional to 2,870.64, 3,956.31 and 2,083.32 is: 2,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.64 : 3,956.31 = 2,083.32 : x
  2. Step 2: Convert to fraction form
    2,870.64/3,956.31 = 2,083.32/x
  3. Step 3: Cross multiply
    2,870.64x = 3,956.31 × 2,083.32
  4. Step 4: Simplify right side
    2,870.64x = 8,242,259.75
  5. Step 5: Solve for x
    x = 8,242,259.75/2,870.64
  6. Step 6: Final answer
    x = 2,871.23

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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.