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Finding the Fourth Proportional to 3,064.74, 4,598.41 and 1,310.12

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Solution

The fourth proportional to 3,064.74, 4,598.41 and 1,310.12 is: 1,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.74 : 4,598.41 = 1,310.12 : x
  2. Step 2: Convert to fraction form
    3,064.74/4,598.41 = 1,310.12/x
  3. Step 3: Cross multiply
    3,064.74x = 4,598.41 × 1,310.12
  4. Step 4: Simplify right side
    3,064.74x = 6,024,468.91
  5. Step 5: Solve for x
    x = 6,024,468.91/3,064.74
  6. Step 6: Final answer
    x = 1,965.74

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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.