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Finding the Fourth Proportional to 1,712.95, 2,363.98 and 966.64

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Solution

The fourth proportional to 1,712.95, 2,363.98 and 966.64 is: 1,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.95 : 2,363.98 = 966.64 : x
  2. Step 2: Convert to fraction form
    1,712.95/2,363.98 = 966.64/x
  3. Step 3: Cross multiply
    1,712.95x = 2,363.98 × 966.64
  4. Step 4: Simplify right side
    1,712.95x = 2,285,111.62
  5. Step 5: Solve for x
    x = 2,285,111.62/1,712.95
  6. Step 6: Final answer
    x = 1,334.02

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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.