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Finding the Fourth Proportional to 4,511.64, 6,766.65 and 2,046

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Solution

The fourth proportional to 4,511.64, 6,766.65 and 2,046 is: 3,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.64 : 6,766.65 = 2,046 : x
  2. Step 2: Convert to fraction form
    4,511.64/6,766.65 = 2,046/x
  3. Step 3: Cross multiply
    4,511.64x = 6,766.65 × 2,046
  4. Step 4: Simplify right side
    4,511.64x = 13,844,565.90
  5. Step 5: Solve for x
    x = 13,844,565.90/4,511.64
  6. Step 6: Final answer
    x = 3,068.63

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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.