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Finding the Fourth Proportional to 2,287.98, 3,430.53 and 1,507.14

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Solution

The fourth proportional to 2,287.98, 3,430.53 and 1,507.14 is: 2,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.98 : 3,430.53 = 1,507.14 : x
  2. Step 2: Convert to fraction form
    2,287.98/3,430.53 = 1,507.14/x
  3. Step 3: Cross multiply
    2,287.98x = 3,430.53 × 1,507.14
  4. Step 4: Simplify right side
    2,287.98x = 5,170,288.98
  5. Step 5: Solve for x
    x = 5,170,288.98/2,287.98
  6. Step 6: Final answer
    x = 2,259.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.