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Finding the Fourth Proportional to 2,307.75, 3,461.49 and 1,009.21

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Solution

The fourth proportional to 2,307.75, 3,461.49 and 1,009.21 is: 1,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.75 : 3,461.49 = 1,009.21 : x
  2. Step 2: Convert to fraction form
    2,307.75/3,461.49 = 1,009.21/x
  3. Step 3: Cross multiply
    2,307.75x = 3,461.49 × 1,009.21
  4. Step 4: Simplify right side
    2,307.75x = 3,493,370.32
  5. Step 5: Solve for x
    x = 3,493,370.32/2,307.75
  6. Step 6: Final answer
    x = 1,513.76

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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.