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Finding the Fourth Proportional to 3,115.66, 4,673.48 and 924.37

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Solution

The fourth proportional to 3,115.66, 4,673.48 and 924.37 is: 1,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.66 : 4,673.48 = 924.37 : x
  2. Step 2: Convert to fraction form
    3,115.66/4,673.48 = 924.37/x
  3. Step 3: Cross multiply
    3,115.66x = 4,673.48 × 924.37
  4. Step 4: Simplify right side
    3,115.66x = 4,320,009.49
  5. Step 5: Solve for x
    x = 4,320,009.49/3,115.66
  6. Step 6: Final answer
    x = 1,386.55

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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.