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Finding the Fourth Proportional to 2,598.22, 3,878.81 and 2,507.08

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Solution

The fourth proportional to 2,598.22, 3,878.81 and 2,507.08 is: 3,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.22 : 3,878.81 = 2,507.08 : x
  2. Step 2: Convert to fraction form
    2,598.22/3,878.81 = 2,507.08/x
  3. Step 3: Cross multiply
    2,598.22x = 3,878.81 × 2,507.08
  4. Step 4: Simplify right side
    2,598.22x = 9,724,486.97
  5. Step 5: Solve for x
    x = 9,724,486.97/2,598.22
  6. Step 6: Final answer
    x = 3,742.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.