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Finding the Fourth Proportional to 1,620.84, 2,432.22 and 647.40

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Solution

The fourth proportional to 1,620.84, 2,432.22 and 647.40 is: 971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.84 : 2,432.22 = 647.40 : x
  2. Step 2: Convert to fraction form
    1,620.84/2,432.22 = 647.40/x
  3. Step 3: Cross multiply
    1,620.84x = 2,432.22 × 647.40
  4. Step 4: Simplify right side
    1,620.84x = 1,574,619.23
  5. Step 5: Solve for x
    x = 1,574,619.23/1,620.84
  6. Step 6: Final answer
    x = 971.48

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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.