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Finding the Fourth Proportional to 1,638.01, 2,260.50 and 929.91

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Solution

The fourth proportional to 1,638.01, 2,260.50 and 929.91 is: 1,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.01 : 2,260.50 = 929.91 : x
  2. Step 2: Convert to fraction form
    1,638.01/2,260.50 = 929.91/x
  3. Step 3: Cross multiply
    1,638.01x = 2,260.50 × 929.91
  4. Step 4: Simplify right side
    1,638.01x = 2,102,055.90
  5. Step 5: Solve for x
    x = 2,102,055.90/1,638.01
  6. Step 6: Final answer
    x = 1,283.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.