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Finding the Fourth Proportional to 2,155.02, 2,972.76 and 1,779.81

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Solution

The fourth proportional to 2,155.02, 2,972.76 and 1,779.81 is: 2,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.02 : 2,972.76 = 1,779.81 : x
  2. Step 2: Convert to fraction form
    2,155.02/2,972.76 = 1,779.81/x
  3. Step 3: Cross multiply
    2,155.02x = 2,972.76 × 1,779.81
  4. Step 4: Simplify right side
    2,155.02x = 5,290,947.98
  5. Step 5: Solve for x
    x = 5,290,947.98/2,155.02
  6. Step 6: Final answer
    x = 2,455.17

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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.