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Finding the Fourth Proportional to 2,985.84, 4,118.71 and 2,041.18

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Solution

The fourth proportional to 2,985.84, 4,118.71 and 2,041.18 is: 2,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.84 : 4,118.71 = 2,041.18 : x
  2. Step 2: Convert to fraction form
    2,985.84/4,118.71 = 2,041.18/x
  3. Step 3: Cross multiply
    2,985.84x = 4,118.71 × 2,041.18
  4. Step 4: Simplify right side
    2,985.84x = 8,407,028.48
  5. Step 5: Solve for x
    x = 8,407,028.48/2,985.84
  6. Step 6: Final answer
    x = 2,815.63

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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.