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Finding the Fourth Proportional to 2,713.34, 4,072.31 and 1,935.24

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Solution

The fourth proportional to 2,713.34, 4,072.31 and 1,935.24 is: 2,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.34 : 4,072.31 = 1,935.24 : x
  2. Step 2: Convert to fraction form
    2,713.34/4,072.31 = 1,935.24/x
  3. Step 3: Cross multiply
    2,713.34x = 4,072.31 × 1,935.24
  4. Step 4: Simplify right side
    2,713.34x = 7,880,897.20
  5. Step 5: Solve for x
    x = 7,880,897.20/2,713.34
  6. Step 6: Final answer
    x = 2,904.50

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1.5x scale

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.