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Finding the Fourth Proportional to 1,712.41, 2,363.10 and 966.40

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Solution

The fourth proportional to 1,712.41, 2,363.10 and 966.40 is: 1,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.41 : 2,363.10 = 966.40 : x
  2. Step 2: Convert to fraction form
    1,712.41/2,363.10 = 966.40/x
  3. Step 3: Cross multiply
    1,712.41x = 2,363.10 × 966.40
  4. Step 4: Simplify right side
    1,712.41x = 2,283,699.84
  5. Step 5: Solve for x
    x = 2,283,699.84/1,712.41
  6. Step 6: Final answer
    x = 1,333.62

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