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Finding the Fourth Proportional to 4,653.45, 6,980.47 and 2,056.38

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Solution

The fourth proportional to 4,653.45, 6,980.47 and 2,056.38 is: 3,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.45 : 6,980.47 = 2,056.38 : x
  2. Step 2: Convert to fraction form
    4,653.45/6,980.47 = 2,056.38/x
  3. Step 3: Cross multiply
    4,653.45x = 6,980.47 × 2,056.38
  4. Step 4: Simplify right side
    4,653.45x = 14,354,498.90
  5. Step 5: Solve for x
    x = 14,354,498.90/4,653.45
  6. Step 6: Final answer
    x = 3,084.70

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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.