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Finding the Fourth Proportional to 2,431.66, 3,648.18 and 788.17

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Solution

The fourth proportional to 2,431.66, 3,648.18 and 788.17 is: 1,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.66 : 3,648.18 = 788.17 : x
  2. Step 2: Convert to fraction form
    2,431.66/3,648.18 = 788.17/x
  3. Step 3: Cross multiply
    2,431.66x = 3,648.18 × 788.17
  4. Step 4: Simplify right side
    2,431.66x = 2,875,367.79
  5. Step 5: Solve for x
    x = 2,875,367.79/2,431.66
  6. Step 6: Final answer
    x = 1,182.47

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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.