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Finding the Fourth Proportional to 2,871.95, 4,308.59 and 924.14

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Solution

The fourth proportional to 2,871.95, 4,308.59 and 924.14 is: 1,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.95 : 4,308.59 = 924.14 : x
  2. Step 2: Convert to fraction form
    2,871.95/4,308.59 = 924.14/x
  3. Step 3: Cross multiply
    2,871.95x = 4,308.59 × 924.14
  4. Step 4: Simplify right side
    2,871.95x = 3,981,714.20
  5. Step 5: Solve for x
    x = 3,981,714.20/2,871.95
  6. Step 6: Final answer
    x = 1,386.42

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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.