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Finding the Fourth Proportional to 1,622.41, 2,432.88 and 800.35

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Solution

The fourth proportional to 1,622.41, 2,432.88 and 800.35 is: 1,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.41 : 2,432.88 = 800.35 : x
  2. Step 2: Convert to fraction form
    1,622.41/2,432.88 = 800.35/x
  3. Step 3: Cross multiply
    1,622.41x = 2,432.88 × 800.35
  4. Step 4: Simplify right side
    1,622.41x = 1,947,151.51
  5. Step 5: Solve for x
    x = 1,947,151.51/1,622.41
  6. Step 6: Final answer
    x = 1,200.16

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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.