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Finding the Fourth Proportional to 2,031.69, 3,047.80 and 715.30

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Solution

The fourth proportional to 2,031.69, 3,047.80 and 715.30 is: 1,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.69 : 3,047.80 = 715.30 : x
  2. Step 2: Convert to fraction form
    2,031.69/3,047.80 = 715.30/x
  3. Step 3: Cross multiply
    2,031.69x = 3,047.80 × 715.30
  4. Step 4: Simplify right side
    2,031.69x = 2,180,091.34
  5. Step 5: Solve for x
    x = 2,180,091.34/2,031.69
  6. Step 6: Final answer
    x = 1,073.04

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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.