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Finding the Fourth Proportional to 3,145.98, 4,714.50 and 2,317.74

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Solution

The fourth proportional to 3,145.98, 4,714.50 and 2,317.74 is: 3,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.98 : 4,714.50 = 2,317.74 : x
  2. Step 2: Convert to fraction form
    3,145.98/4,714.50 = 2,317.74/x
  3. Step 3: Cross multiply
    3,145.98x = 4,714.50 × 2,317.74
  4. Step 4: Simplify right side
    3,145.98x = 10,926,985.23
  5. Step 5: Solve for x
    x = 10,926,985.23/3,145.98
  6. Step 6: Final answer
    x = 3,473.32

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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.