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Finding the Fourth Proportional to 1,765.36, 2,430.63 and 1,499.27

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Solution

The fourth proportional to 1,765.36, 2,430.63 and 1,499.27 is: 2,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.36 : 2,430.63 = 1,499.27 : x
  2. Step 2: Convert to fraction form
    1,765.36/2,430.63 = 1,499.27/x
  3. Step 3: Cross multiply
    1,765.36x = 2,430.63 × 1,499.27
  4. Step 4: Simplify right side
    1,765.36x = 3,644,170.64
  5. Step 5: Solve for x
    x = 3,644,170.64/1,765.36
  6. Step 6: Final answer
    x = 2,064.26

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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.