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Finding the Fourth Proportional to 1,971.63, 2,957.49 and 510.93

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Solution

The fourth proportional to 1,971.63, 2,957.49 and 510.93 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.63 : 2,957.49 = 510.93 : x
  2. Step 2: Convert to fraction form
    1,971.63/2,957.49 = 510.93/x
  3. Step 3: Cross multiply
    1,971.63x = 2,957.49 × 510.93
  4. Step 4: Simplify right side
    1,971.63x = 1,511,070.37
  5. Step 5: Solve for x
    x = 1,511,070.37/1,971.63
  6. Step 6: Final answer
    x = 766.41

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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.