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Finding the Fourth Proportional to 2,985.64, 4,118.10 and 2,426.10

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Solution

The fourth proportional to 2,985.64, 4,118.10 and 2,426.10 is: 3,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.64 : 4,118.10 = 2,426.10 : x
  2. Step 2: Convert to fraction form
    2,985.64/4,118.10 = 2,426.10/x
  3. Step 3: Cross multiply
    2,985.64x = 4,118.10 × 2,426.10
  4. Step 4: Simplify right side
    2,985.64x = 9,990,922.41
  5. Step 5: Solve for x
    x = 9,990,922.41/2,985.64
  6. Step 6: Final answer
    x = 3,346.33

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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.