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Finding the Fourth Proportional to 2,031.84, 3,047.73 and 645.17

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Solution

The fourth proportional to 2,031.84, 3,047.73 and 645.17 is: 967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.84 : 3,047.73 = 645.17 : x
  2. Step 2: Convert to fraction form
    2,031.84/3,047.73 = 645.17/x
  3. Step 3: Cross multiply
    2,031.84x = 3,047.73 × 645.17
  4. Step 4: Simplify right side
    2,031.84x = 1,966,303.96
  5. Step 5: Solve for x
    x = 1,966,303.96/2,031.84
  6. Step 6: Final answer
    x = 967.75

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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.