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Finding the Fourth Proportional to 2,105.41, 2,903.56 and 1,752.50

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Solution

The fourth proportional to 2,105.41, 2,903.56 and 1,752.50 is: 2,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.41 : 2,903.56 = 1,752.50 : x
  2. Step 2: Convert to fraction form
    2,105.41/2,903.56 = 1,752.50/x
  3. Step 3: Cross multiply
    2,105.41x = 2,903.56 × 1,752.50
  4. Step 4: Simplify right side
    2,105.41x = 5,088,501.64
  5. Step 5: Solve for x
    x = 5,088,501.64/2,105.41
  6. Step 6: Final answer
    x = 2,416.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.