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Finding the Fourth Proportional to 2,316.56, 3,475.22 and 672.89

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Solution

The fourth proportional to 2,316.56, 3,475.22 and 672.89 is: 1,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.56 : 3,475.22 = 672.89 : x
  2. Step 2: Convert to fraction form
    2,316.56/3,475.22 = 672.89/x
  3. Step 3: Cross multiply
    2,316.56x = 3,475.22 × 672.89
  4. Step 4: Simplify right side
    2,316.56x = 2,338,420.05
  5. Step 5: Solve for x
    x = 2,338,420.05/2,316.56
  6. Step 6: Final answer
    x = 1,009.44

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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.