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Finding the Fourth Proportional to 2,000.45, 2,758.16 and 1,645.13

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Solution

The fourth proportional to 2,000.45, 2,758.16 and 1,645.13 is: 2,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.45 : 2,758.16 = 1,645.13 : x
  2. Step 2: Convert to fraction form
    2,000.45/2,758.16 = 1,645.13/x
  3. Step 3: Cross multiply
    2,000.45x = 2,758.16 × 1,645.13
  4. Step 4: Simplify right side
    2,000.45x = 4,537,509.74
  5. Step 5: Solve for x
    x = 4,537,509.74/2,000.45
  6. Step 6: Final answer
    x = 2,268.25

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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.