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Finding the Fourth Proportional to 1,672.54, 2,307.74 and 1,324.24

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Solution

The fourth proportional to 1,672.54, 2,307.74 and 1,324.24 is: 1,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.54 : 2,307.74 = 1,324.24 : x
  2. Step 2: Convert to fraction form
    1,672.54/2,307.74 = 1,324.24/x
  3. Step 3: Cross multiply
    1,672.54x = 2,307.74 × 1,324.24
  4. Step 4: Simplify right side
    1,672.54x = 3,056,001.62
  5. Step 5: Solve for x
    x = 3,056,001.62/1,672.54
  6. Step 6: Final answer
    x = 1,827.16

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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.