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Finding the Fourth Proportional to 2,178.95, 3,267.51 and 1,023.89

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Solution

The fourth proportional to 2,178.95, 3,267.51 and 1,023.89 is: 1,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.95 : 3,267.51 = 1,023.89 : x
  2. Step 2: Convert to fraction form
    2,178.95/3,267.51 = 1,023.89/x
  3. Step 3: Cross multiply
    2,178.95x = 3,267.51 × 1,023.89
  4. Step 4: Simplify right side
    2,178.95x = 3,345,570.81
  5. Step 5: Solve for x
    x = 3,345,570.81/2,178.95
  6. Step 6: Final answer
    x = 1,535.41

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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.