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Finding the Fourth Proportional to 2,860.60, 4,284.54 and 1,761.64

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Solution

The fourth proportional to 2,860.60, 4,284.54 and 1,761.64 is: 2,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.60 : 4,284.54 = 1,761.64 : x
  2. Step 2: Convert to fraction form
    2,860.60/4,284.54 = 1,761.64/x
  3. Step 3: Cross multiply
    2,860.60x = 4,284.54 × 1,761.64
  4. Step 4: Simplify right side
    2,860.60x = 7,547,817.05
  5. Step 5: Solve for x
    x = 7,547,817.05/2,860.60
  6. Step 6: Final answer
    x = 2,638.54

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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.