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Finding the Fourth Proportional to 1,707.84, 2,356.74 and 961.98

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Solution

The fourth proportional to 1,707.84, 2,356.74 and 961.98 is: 1,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.84 : 2,356.74 = 961.98 : x
  2. Step 2: Convert to fraction form
    1,707.84/2,356.74 = 961.98/x
  3. Step 3: Cross multiply
    1,707.84x = 2,356.74 × 961.98
  4. Step 4: Simplify right side
    1,707.84x = 2,267,136.75
  5. Step 5: Solve for x
    x = 2,267,136.75/1,707.84
  6. Step 6: Final answer
    x = 1,327.49

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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.