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Finding the Fourth Proportional to 2,140.82, 3,209.63 and 907.45

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Solution

The fourth proportional to 2,140.82, 3,209.63 and 907.45 is: 1,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.82 : 3,209.63 = 907.45 : x
  2. Step 2: Convert to fraction form
    2,140.82/3,209.63 = 907.45/x
  3. Step 3: Cross multiply
    2,140.82x = 3,209.63 × 907.45
  4. Step 4: Simplify right side
    2,140.82x = 2,912,572.99
  5. Step 5: Solve for x
    x = 2,912,572.99/2,140.82
  6. Step 6: Final answer
    x = 1,360.49

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1.5x scale

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.