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Finding the Fourth Proportional to 2,537.99, 3,502.02 and 1,640.08

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Solution

The fourth proportional to 2,537.99, 3,502.02 and 1,640.08 is: 2,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.99 : 3,502.02 = 1,640.08 : x
  2. Step 2: Convert to fraction form
    2,537.99/3,502.02 = 1,640.08/x
  3. Step 3: Cross multiply
    2,537.99x = 3,502.02 × 1,640.08
  4. Step 4: Simplify right side
    2,537.99x = 5,743,603.49
  5. Step 5: Solve for x
    x = 5,743,603.49/2,537.99
  6. Step 6: Final answer
    x = 2,263.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.