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Finding the Fourth Proportional to 1,971.45, 2,957.18 and 510.49

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Solution

The fourth proportional to 1,971.45, 2,957.18 and 510.49 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.45 : 2,957.18 = 510.49 : x
  2. Step 2: Convert to fraction form
    1,971.45/2,957.18 = 510.49/x
  3. Step 3: Cross multiply
    1,971.45x = 2,957.18 × 510.49
  4. Step 4: Simplify right side
    1,971.45x = 1,509,610.82
  5. Step 5: Solve for x
    x = 1,509,610.82/1,971.45
  6. Step 6: Final answer
    x = 765.74

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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.