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Finding the Fourth Proportional to 2,505.41, 3,456.11 and 1,748.01

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Solution

The fourth proportional to 2,505.41, 3,456.11 and 1,748.01 is: 2,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.41 : 3,456.11 = 1,748.01 : x
  2. Step 2: Convert to fraction form
    2,505.41/3,456.11 = 1,748.01/x
  3. Step 3: Cross multiply
    2,505.41x = 3,456.11 × 1,748.01
  4. Step 4: Simplify right side
    2,505.41x = 6,041,322.34
  5. Step 5: Solve for x
    x = 6,041,322.34/2,505.41
  6. Step 6: Final answer
    x = 2,411.31

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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.