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Finding the Fourth Proportional to 2,946.82, 4,421.03 and 972.82

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Solution

The fourth proportional to 2,946.82, 4,421.03 and 972.82 is: 1,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.82 : 4,421.03 = 972.82 : x
  2. Step 2: Convert to fraction form
    2,946.82/4,421.03 = 972.82/x
  3. Step 3: Cross multiply
    2,946.82x = 4,421.03 × 972.82
  4. Step 4: Simplify right side
    2,946.82x = 4,300,866.40
  5. Step 5: Solve for x
    x = 4,300,866.40/2,946.82
  6. Step 6: Final answer
    x = 1,459.49

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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.