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Finding the Fourth Proportional to 1,653.96, 2,481.96 and 924.06

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Solution

The fourth proportional to 1,653.96, 2,481.96 and 924.06 is: 1,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.96 : 2,481.96 = 924.06 : x
  2. Step 2: Convert to fraction form
    1,653.96/2,481.96 = 924.06/x
  3. Step 3: Cross multiply
    1,653.96x = 2,481.96 × 924.06
  4. Step 4: Simplify right side
    1,653.96x = 2,293,479.96
  5. Step 5: Solve for x
    x = 2,293,479.96/1,653.96
  6. Step 6: Final answer
    x = 1,386.66

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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.