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Finding the Fourth Proportional to 1,705.78, 2,353.62 and 1,006.75

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Solution

The fourth proportional to 1,705.78, 2,353.62 and 1,006.75 is: 1,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.78 : 2,353.62 = 1,006.75 : x
  2. Step 2: Convert to fraction form
    1,705.78/2,353.62 = 1,006.75/x
  3. Step 3: Cross multiply
    1,705.78x = 2,353.62 × 1,006.75
  4. Step 4: Simplify right side
    1,705.78x = 2,369,506.94
  5. Step 5: Solve for x
    x = 2,369,506.94/1,705.78
  6. Step 6: Final answer
    x = 1,389.10

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Why These Related Problems?

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