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Finding the Fourth Proportional to 2,873.08, 4,309.70 and 925.40

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Solution

The fourth proportional to 2,873.08, 4,309.70 and 925.40 is: 1,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.08 : 4,309.70 = 925.40 : x
  2. Step 2: Convert to fraction form
    2,873.08/4,309.70 = 925.40/x
  3. Step 3: Cross multiply
    2,873.08x = 4,309.70 × 925.40
  4. Step 4: Simplify right side
    2,873.08x = 3,988,196.38
  5. Step 5: Solve for x
    x = 3,988,196.38/2,873.08
  6. Step 6: Final answer
    x = 1,388.13

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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.