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Finding the Fourth Proportional to 1,621.79, 2,434.52 and 648.57

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Solution

The fourth proportional to 1,621.79, 2,434.52 and 648.57 is: 973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.79 : 2,434.52 = 648.57 : x
  2. Step 2: Convert to fraction form
    1,621.79/2,434.52 = 648.57/x
  3. Step 3: Cross multiply
    1,621.79x = 2,434.52 × 648.57
  4. Step 4: Simplify right side
    1,621.79x = 1,578,967.39
  5. Step 5: Solve for x
    x = 1,578,967.39/1,621.79
  6. Step 6: Final answer
    x = 973.60

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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.