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Finding the Fourth Proportional to 2,143.95, 3,215.71 and 1,455.05

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Solution

The fourth proportional to 2,143.95, 3,215.71 and 1,455.05 is: 2,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.95 : 3,215.71 = 1,455.05 : x
  2. Step 2: Convert to fraction form
    2,143.95/3,215.71 = 1,455.05/x
  3. Step 3: Cross multiply
    2,143.95x = 3,215.71 × 1,455.05
  4. Step 4: Simplify right side
    2,143.95x = 4,678,999.12
  5. Step 5: Solve for x
    x = 4,678,999.12/2,143.95
  6. Step 6: Final answer
    x = 2,182.42

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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.