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Finding the Fourth Proportional to 1,673.62, 2,309.97 and 975.13

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Solution

The fourth proportional to 1,673.62, 2,309.97 and 975.13 is: 1,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.62 : 2,309.97 = 975.13 : x
  2. Step 2: Convert to fraction form
    1,673.62/2,309.97 = 975.13/x
  3. Step 3: Cross multiply
    1,673.62x = 2,309.97 × 975.13
  4. Step 4: Simplify right side
    1,673.62x = 2,252,521.05
  5. Step 5: Solve for x
    x = 2,252,521.05/1,673.62
  6. Step 6: Final answer
    x = 1,345.90

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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.