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Finding the Fourth Proportional to 1,971.35, 2,957.02 and 510.50

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Solution

The fourth proportional to 1,971.35, 2,957.02 and 510.50 is: 765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.35 : 2,957.02 = 510.50 : x
  2. Step 2: Convert to fraction form
    1,971.35/2,957.02 = 510.50/x
  3. Step 3: Cross multiply
    1,971.35x = 2,957.02 × 510.50
  4. Step 4: Simplify right side
    1,971.35x = 1,509,551.06
  5. Step 5: Solve for x
    x = 1,509,551.06/1,971.35
  6. Step 6: Final answer
    x = 765.75

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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.