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Finding the Fourth Proportional to 2,884.95, 4,325.58 and 1,714.64

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Solution

The fourth proportional to 2,884.95, 4,325.58 and 1,714.64 is: 2,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.95 : 4,325.58 = 1,714.64 : x
  2. Step 2: Convert to fraction form
    2,884.95/4,325.58 = 1,714.64/x
  3. Step 3: Cross multiply
    2,884.95x = 4,325.58 × 1,714.64
  4. Step 4: Simplify right side
    2,884.95x = 7,416,812.49
  5. Step 5: Solve for x
    x = 7,416,812.49/2,884.95
  6. Step 6: Final answer
    x = 2,570.86

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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.