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Finding the Fourth Proportional to 2,315.21, 3,473.05 and 854.02

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Solution

The fourth proportional to 2,315.21, 3,473.05 and 854.02 is: 1,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.21 : 3,473.05 = 854.02 : x
  2. Step 2: Convert to fraction form
    2,315.21/3,473.05 = 854.02/x
  3. Step 3: Cross multiply
    2,315.21x = 3,473.05 × 854.02
  4. Step 4: Simplify right side
    2,315.21x = 2,966,054.16
  5. Step 5: Solve for x
    x = 2,966,054.16/2,315.21
  6. Step 6: Final answer
    x = 1,281.12

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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.