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Finding the Fourth Proportional to 1,971.17, 2,957.03 and 584.63

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Solution

The fourth proportional to 1,971.17, 2,957.03 and 584.63 is: 877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.17 : 2,957.03 = 584.63 : x
  2. Step 2: Convert to fraction form
    1,971.17/2,957.03 = 584.63/x
  3. Step 3: Cross multiply
    1,971.17x = 2,957.03 × 584.63
  4. Step 4: Simplify right side
    1,971.17x = 1,728,768.45
  5. Step 5: Solve for x
    x = 1,728,768.45/1,971.17
  6. Step 6: Final answer
    x = 877.03

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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.