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Finding the Fourth Proportional to 3,014.58, 4,160.02 and 1,670.13

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Solution

The fourth proportional to 3,014.58, 4,160.02 and 1,670.13 is: 2,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.58 : 4,160.02 = 1,670.13 : x
  2. Step 2: Convert to fraction form
    3,014.58/4,160.02 = 1,670.13/x
  3. Step 3: Cross multiply
    3,014.58x = 4,160.02 × 1,670.13
  4. Step 4: Simplify right side
    3,014.58x = 6,947,774.20
  5. Step 5: Solve for x
    x = 6,947,774.20/3,014.58
  6. Step 6: Final answer
    x = 2,304.73

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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.