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Finding the Fourth Proportional to 2,031.35, 3,047.04 and 715.13

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Solution

The fourth proportional to 2,031.35, 3,047.04 and 715.13 is: 1,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.35 : 3,047.04 = 715.13 : x
  2. Step 2: Convert to fraction form
    2,031.35/3,047.04 = 715.13/x
  3. Step 3: Cross multiply
    2,031.35x = 3,047.04 × 715.13
  4. Step 4: Simplify right side
    2,031.35x = 2,179,026.14
  5. Step 5: Solve for x
    x = 2,179,026.14/2,031.35
  6. Step 6: Final answer
    x = 1,072.70

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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.