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Finding the Fourth Proportional to 1,621.34, 2,432.28 and 647.46

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Solution

The fourth proportional to 1,621.34, 2,432.28 and 647.46 is: 971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.34 : 2,432.28 = 647.46 : x
  2. Step 2: Convert to fraction form
    1,621.34/2,432.28 = 647.46/x
  3. Step 3: Cross multiply
    1,621.34x = 2,432.28 × 647.46
  4. Step 4: Simplify right side
    1,621.34x = 1,574,804.01
  5. Step 5: Solve for x
    x = 1,574,804.01/1,621.34
  6. Step 6: Final answer
    x = 971.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.