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Finding the Fourth Proportional to 2,507.40, 3,460.48 and 1,809.18

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Solution

The fourth proportional to 2,507.40, 3,460.48 and 1,809.18 is: 2,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.40 : 3,460.48 = 1,809.18 : x
  2. Step 2: Convert to fraction form
    2,507.40/3,460.48 = 1,809.18/x
  3. Step 3: Cross multiply
    2,507.40x = 3,460.48 × 1,809.18
  4. Step 4: Simplify right side
    2,507.40x = 6,260,631.21
  5. Step 5: Solve for x
    x = 6,260,631.21/2,507.40
  6. Step 6: Final answer
    x = 2,496.86

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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.