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Finding the Fourth Proportional to 3,185.40, 4,780.14 and 2,407.20

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Solution

The fourth proportional to 3,185.40, 4,780.14 and 2,407.20 is: 3,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.40 : 4,780.14 = 2,407.20 : x
  2. Step 2: Convert to fraction form
    3,185.40/4,780.14 = 2,407.20/x
  3. Step 3: Cross multiply
    3,185.40x = 4,780.14 × 2,407.20
  4. Step 4: Simplify right side
    3,185.40x = 11,506,753.01
  5. Step 5: Solve for x
    x = 11,506,753.01/3,185.40
  6. Step 6: Final answer
    x = 3,612.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.