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Finding the Fourth Proportional to 4,382, 6,575.88 and 1,646

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Solution

The fourth proportional to 4,382, 6,575.88 and 1,646 is: 2,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382 : 6,575.88 = 1,646 : x
  2. Step 2: Convert to fraction form
    4,382/6,575.88 = 1,646/x
  3. Step 3: Cross multiply
    4,382x = 6,575.88 × 1,646
  4. Step 4: Simplify right side
    4,382x = 10,823,898.48
  5. Step 5: Solve for x
    x = 10,823,898.48/4,382
  6. Step 6: Final answer
    x = 2,470.08

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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.