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Finding the Fourth Proportional to 3,117.60, 4,674.24 and 1,656

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Solution

The fourth proportional to 3,117.60, 4,674.24 and 1,656 is: 2,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.60 : 4,674.24 = 1,656 : x
  2. Step 2: Convert to fraction form
    3,117.60/4,674.24 = 1,656/x
  3. Step 3: Cross multiply
    3,117.60x = 4,674.24 × 1,656
  4. Step 4: Simplify right side
    3,117.60x = 7,740,541.44
  5. Step 5: Solve for x
    x = 7,740,541.44/3,117.60
  6. Step 6: Final answer
    x = 2,482.85

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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.