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Finding the Fourth Proportional to 3,130.18, 4,695.27 and 821.50

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Solution

The fourth proportional to 3,130.18, 4,695.27 and 821.50 is: 1,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.18 : 4,695.27 = 821.50 : x
  2. Step 2: Convert to fraction form
    3,130.18/4,695.27 = 821.50/x
  3. Step 3: Cross multiply
    3,130.18x = 4,695.27 × 821.50
  4. Step 4: Simplify right side
    3,130.18x = 3,857,164.31
  5. Step 5: Solve for x
    x = 3,857,164.31/3,130.18
  6. Step 6: Final answer
    x = 1,232.25

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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.