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Finding the Fourth Proportional to 2,199.63, 3,301.73 and 1,277.00

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Solution

The fourth proportional to 2,199.63, 3,301.73 and 1,277.00 is: 1,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.63 : 3,301.73 = 1,277.00 : x
  2. Step 2: Convert to fraction form
    2,199.63/3,301.73 = 1,277.00/x
  3. Step 3: Cross multiply
    2,199.63x = 3,301.73 × 1,277.00
  4. Step 4: Simplify right side
    2,199.63x = 4,216,303.49
  5. Step 5: Solve for x
    x = 4,216,303.49/2,199.63
  6. Step 6: Final answer
    x = 1,916.82

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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.