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Finding the Fourth Proportional to 2,499.60, 3,751.05 and 1,038.75

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Solution

The fourth proportional to 2,499.60, 3,751.05 and 1,038.75 is: 1,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.60 : 3,751.05 = 1,038.75 : x
  2. Step 2: Convert to fraction form
    2,499.60/3,751.05 = 1,038.75/x
  3. Step 3: Cross multiply
    2,499.60x = 3,751.05 × 1,038.75
  4. Step 4: Simplify right side
    2,499.60x = 3,896,403.19
  5. Step 5: Solve for x
    x = 3,896,403.19/2,499.60
  6. Step 6: Final answer
    x = 1,558.81

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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.