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Finding the Fourth Proportional to 1,698.40, 2,541.16 and 1,005.44

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Solution

The fourth proportional to 1,698.40, 2,541.16 and 1,005.44 is: 1,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.40 : 2,541.16 = 1,005.44 : x
  2. Step 2: Convert to fraction form
    1,698.40/2,541.16 = 1,005.44/x
  3. Step 3: Cross multiply
    1,698.40x = 2,541.16 × 1,005.44
  4. Step 4: Simplify right side
    1,698.40x = 2,554,983.91
  5. Step 5: Solve for x
    x = 2,554,983.91/1,698.40
  6. Step 6: Final answer
    x = 1,504.35

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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.