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Finding the Fourth Proportional to 2,317.03, 3,473.80 and 756.10

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Solution

The fourth proportional to 2,317.03, 3,473.80 and 756.10 is: 1,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.03 : 3,473.80 = 756.10 : x
  2. Step 2: Convert to fraction form
    2,317.03/3,473.80 = 756.10/x
  3. Step 3: Cross multiply
    2,317.03x = 3,473.80 × 756.10
  4. Step 4: Simplify right side
    2,317.03x = 2,626,540.18
  5. Step 5: Solve for x
    x = 2,626,540.18/2,317.03
  6. Step 6: Final answer
    x = 1,133.58

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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.