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Finding the Fourth Proportional to 1,705.94, 2,353.48 and 1,006.10

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Solution

The fourth proportional to 1,705.94, 2,353.48 and 1,006.10 is: 1,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.94 : 2,353.48 = 1,006.10 : x
  2. Step 2: Convert to fraction form
    1,705.94/2,353.48 = 1,006.10/x
  3. Step 3: Cross multiply
    1,705.94x = 2,353.48 × 1,006.10
  4. Step 4: Simplify right side
    1,705.94x = 2,367,821.95
  5. Step 5: Solve for x
    x = 2,367,821.95/1,705.94
  6. Step 6: Final answer
    x = 1,387.99

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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.