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Finding the Fourth Proportional to 2,507.19, 3,459.12 and 1,459.05

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Solution

The fourth proportional to 2,507.19, 3,459.12 and 1,459.05 is: 2,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.19 : 3,459.12 = 1,459.05 : x
  2. Step 2: Convert to fraction form
    2,507.19/3,459.12 = 1,459.05/x
  3. Step 3: Cross multiply
    2,507.19x = 3,459.12 × 1,459.05
  4. Step 4: Simplify right side
    2,507.19x = 5,047,018.80
  5. Step 5: Solve for x
    x = 5,047,018.80/2,507.19
  6. Step 6: Final answer
    x = 2,013.02

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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.