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Finding the Fourth Proportional to 1,721.15, 2,375.11 and 975.09

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Solution

The fourth proportional to 1,721.15, 2,375.11 and 975.09 is: 1,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.15 : 2,375.11 = 975.09 : x
  2. Step 2: Convert to fraction form
    1,721.15/2,375.11 = 975.09/x
  3. Step 3: Cross multiply
    1,721.15x = 2,375.11 × 975.09
  4. Step 4: Simplify right side
    1,721.15x = 2,315,946.01
  5. Step 5: Solve for x
    x = 2,315,946.01/1,721.15
  6. Step 6: Final answer
    x = 1,345.58

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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.