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Finding the Fourth Proportional to 2,402.85, 3,312.95 and 2,005.10

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Solution

The fourth proportional to 2,402.85, 3,312.95 and 2,005.10 is: 2,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.85 : 3,312.95 = 2,005.10 : x
  2. Step 2: Convert to fraction form
    2,402.85/3,312.95 = 2,005.10/x
  3. Step 3: Cross multiply
    2,402.85x = 3,312.95 × 2,005.10
  4. Step 4: Simplify right side
    2,402.85x = 6,642,796.05
  5. Step 5: Solve for x
    x = 6,642,796.05/2,402.85
  6. Step 6: Final answer
    x = 2,764.55

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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.