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Finding the Fourth Proportional to 1,969.20, 2,953.94 and 508.50

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Solution

The fourth proportional to 1,969.20, 2,953.94 and 508.50 is: 762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.20 : 2,953.94 = 508.50 : x
  2. Step 2: Convert to fraction form
    1,969.20/2,953.94 = 508.50/x
  3. Step 3: Cross multiply
    1,969.20x = 2,953.94 × 508.50
  4. Step 4: Simplify right side
    1,969.20x = 1,502,075.95
  5. Step 5: Solve for x
    x = 1,502,075.95/1,969.20
  6. Step 6: Final answer
    x = 762.78

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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.