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Finding the Fourth Proportional to 1,645.61, 2,465.16 and 864.44

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Solution

The fourth proportional to 1,645.61, 2,465.16 and 864.44 is: 1,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.61 : 2,465.16 = 864.44 : x
  2. Step 2: Convert to fraction form
    1,645.61/2,465.16 = 864.44/x
  3. Step 3: Cross multiply
    1,645.61x = 2,465.16 × 864.44
  4. Step 4: Simplify right side
    1,645.61x = 2,130,989.07
  5. Step 5: Solve for x
    x = 2,130,989.07/1,645.61
  6. Step 6: Final answer
    x = 1,294.95

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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.