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Finding the Fourth Proportional to 2,513.04, 3,769.92 and 846.66

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Solution

The fourth proportional to 2,513.04, 3,769.92 and 846.66 is: 1,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.04 : 3,769.92 = 846.66 : x
  2. Step 2: Convert to fraction form
    2,513.04/3,769.92 = 846.66/x
  3. Step 3: Cross multiply
    2,513.04x = 3,769.92 × 846.66
  4. Step 4: Simplify right side
    2,513.04x = 3,191,840.47
  5. Step 5: Solve for x
    x = 3,191,840.47/2,513.04
  6. Step 6: Final answer
    x = 1,270.11

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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.