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Finding the Fourth Proportional to 2,507.58, 3,460.20 and 1,563.22

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Solution

The fourth proportional to 2,507.58, 3,460.20 and 1,563.22 is: 2,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.58 : 3,460.20 = 1,563.22 : x
  2. Step 2: Convert to fraction form
    2,507.58/3,460.20 = 1,563.22/x
  3. Step 3: Cross multiply
    2,507.58x = 3,460.20 × 1,563.22
  4. Step 4: Simplify right side
    2,507.58x = 5,409,053.84
  5. Step 5: Solve for x
    x = 5,409,053.84/2,507.58
  6. Step 6: Final answer
    x = 2,157.08

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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.