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Finding the Fourth Proportional to 2,315.64, 3,473.13 and 1,145.34

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Solution

The fourth proportional to 2,315.64, 3,473.13 and 1,145.34 is: 1,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.64 : 3,473.13 = 1,145.34 : x
  2. Step 2: Convert to fraction form
    2,315.64/3,473.13 = 1,145.34/x
  3. Step 3: Cross multiply
    2,315.64x = 3,473.13 × 1,145.34
  4. Step 4: Simplify right side
    2,315.64x = 3,977,914.71
  5. Step 5: Solve for x
    x = 3,977,914.71/2,315.64
  6. Step 6: Final answer
    x = 1,717.85

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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.