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Finding the Fourth Proportional to 2,503.10, 3,752.35 and 859.27

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Solution

The fourth proportional to 2,503.10, 3,752.35 and 859.27 is: 1,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.10 : 3,752.35 = 859.27 : x
  2. Step 2: Convert to fraction form
    2,503.10/3,752.35 = 859.27/x
  3. Step 3: Cross multiply
    2,503.10x = 3,752.35 × 859.27
  4. Step 4: Simplify right side
    2,503.10x = 3,224,281.78
  5. Step 5: Solve for x
    x = 3,224,281.78/2,503.10
  6. Step 6: Final answer
    x = 1,288.12

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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.