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Finding the Fourth Proportional to 1,957.85, 2,936.78 and 497.00

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Solution

The fourth proportional to 1,957.85, 2,936.78 and 497.00 is: 745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.85 : 2,936.78 = 497.00 : x
  2. Step 2: Convert to fraction form
    1,957.85/2,936.78 = 497.00/x
  3. Step 3: Cross multiply
    1,957.85x = 2,936.78 × 497.00
  4. Step 4: Simplify right side
    1,957.85x = 1,459,575.39
  5. Step 5: Solve for x
    x = 1,459,575.39/1,957.85
  6. Step 6: Final answer
    x = 745.50

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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.