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Finding the Fourth Proportional to 3,113.60, 4,670.39 and 1,653.44

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Solution

The fourth proportional to 3,113.60, 4,670.39 and 1,653.44 is: 2,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.60 : 4,670.39 = 1,653.44 : x
  2. Step 2: Convert to fraction form
    3,113.60/4,670.39 = 1,653.44/x
  3. Step 3: Cross multiply
    3,113.60x = 4,670.39 × 1,653.44
  4. Step 4: Simplify right side
    3,113.60x = 7,722,178.02
  5. Step 5: Solve for x
    x = 7,722,178.02/3,113.60
  6. Step 6: Final answer
    x = 2,480.15

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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.