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Finding the Fourth Proportional to 1,618.49, 2,428.23 and 644.06

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Solution

The fourth proportional to 1,618.49, 2,428.23 and 644.06 is: 966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.49 : 2,428.23 = 644.06 : x
  2. Step 2: Convert to fraction form
    1,618.49/2,428.23 = 644.06/x
  3. Step 3: Cross multiply
    1,618.49x = 2,428.23 × 644.06
  4. Step 4: Simplify right side
    1,618.49x = 1,563,925.81
  5. Step 5: Solve for x
    x = 1,563,925.81/1,618.49
  6. Step 6: Final answer
    x = 966.29

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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.