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Finding the Fourth Proportional to 3,145.30, 4,714.80 and 1,582.90

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Solution

The fourth proportional to 3,145.30, 4,714.80 and 1,582.90 is: 2,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.30 : 4,714.80 = 1,582.90 : x
  2. Step 2: Convert to fraction form
    3,145.30/4,714.80 = 1,582.90/x
  3. Step 3: Cross multiply
    3,145.30x = 4,714.80 × 1,582.90
  4. Step 4: Simplify right side
    3,145.30x = 7,463,056.92
  5. Step 5: Solve for x
    x = 7,463,056.92/3,145.30
  6. Step 6: Final answer
    x = 2,372.76

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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.