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Finding the Fourth Proportional to 1,924.96, 2,886.24 and 952.64

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Solution

The fourth proportional to 1,924.96, 2,886.24 and 952.64 is: 1,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.96 : 2,886.24 = 952.64 : x
  2. Step 2: Convert to fraction form
    1,924.96/2,886.24 = 952.64/x
  3. Step 3: Cross multiply
    1,924.96x = 2,886.24 × 952.64
  4. Step 4: Simplify right side
    1,924.96x = 2,749,547.67
  5. Step 5: Solve for x
    x = 2,749,547.67/1,924.96
  6. Step 6: Final answer
    x = 1,428.37

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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.