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Finding the Fourth Proportional to 2,406.76, 3,317.70 and 1,881.88

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Solution

The fourth proportional to 2,406.76, 3,317.70 and 1,881.88 is: 2,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.76 : 3,317.70 = 1,881.88 : x
  2. Step 2: Convert to fraction form
    2,406.76/3,317.70 = 1,881.88/x
  3. Step 3: Cross multiply
    2,406.76x = 3,317.70 × 1,881.88
  4. Step 4: Simplify right side
    2,406.76x = 6,243,513.28
  5. Step 5: Solve for x
    x = 6,243,513.28/2,406.76
  6. Step 6: Final answer
    x = 2,594.16

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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.