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Finding the Fourth Proportional to 2,507.03, 3,460.80 and 1,499.08

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Solution

The fourth proportional to 2,507.03, 3,460.80 and 1,499.08 is: 2,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.03 : 3,460.80 = 1,499.08 : x
  2. Step 2: Convert to fraction form
    2,507.03/3,460.80 = 1,499.08/x
  3. Step 3: Cross multiply
    2,507.03x = 3,460.80 × 1,499.08
  4. Step 4: Simplify right side
    2,507.03x = 5,188,025.04
  5. Step 5: Solve for x
    x = 5,188,025.04/2,507.03
  6. Step 6: Final answer
    x = 2,069.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.