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Finding the Fourth Proportional to 1,782.99, 2,460.44 and 1,036.83

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Solution

The fourth proportional to 1,782.99, 2,460.44 and 1,036.83 is: 1,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.99 : 2,460.44 = 1,036.83 : x
  2. Step 2: Convert to fraction form
    1,782.99/2,460.44 = 1,036.83/x
  3. Step 3: Cross multiply
    1,782.99x = 2,460.44 × 1,036.83
  4. Step 4: Simplify right side
    1,782.99x = 2,551,058.01
  5. Step 5: Solve for x
    x = 2,551,058.01/1,782.99
  6. Step 6: Final answer
    x = 1,430.78

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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.