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Finding the Fourth Proportional to 2,700.52, 4,045.74 and 2,121.64

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Solution

The fourth proportional to 2,700.52, 4,045.74 and 2,121.64 is: 3,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.52 : 4,045.74 = 2,121.64 : x
  2. Step 2: Convert to fraction form
    2,700.52/4,045.74 = 2,121.64/x
  3. Step 3: Cross multiply
    2,700.52x = 4,045.74 × 2,121.64
  4. Step 4: Simplify right side
    2,700.52x = 8,583,603.81
  5. Step 5: Solve for x
    x = 8,583,603.81/2,700.52
  6. Step 6: Final answer
    x = 3,178.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.