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Finding the Fourth Proportional to 2,019.56, 2,779.77 and 1,429.07

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Solution

The fourth proportional to 2,019.56, 2,779.77 and 1,429.07 is: 1,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.56 : 2,779.77 = 1,429.07 : x
  2. Step 2: Convert to fraction form
    2,019.56/2,779.77 = 1,429.07/x
  3. Step 3: Cross multiply
    2,019.56x = 2,779.77 × 1,429.07
  4. Step 4: Simplify right side
    2,019.56x = 3,972,477.15
  5. Step 5: Solve for x
    x = 3,972,477.15/2,019.56
  6. Step 6: Final answer
    x = 1,967.00

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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.