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Finding the Fourth Proportional to 1,677.46, 2,513.76 and 945.48

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Solution

The fourth proportional to 1,677.46, 2,513.76 and 945.48 is: 1,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.46 : 2,513.76 = 945.48 : x
  2. Step 2: Convert to fraction form
    1,677.46/2,513.76 = 945.48/x
  3. Step 3: Cross multiply
    1,677.46x = 2,513.76 × 945.48
  4. Step 4: Simplify right side
    1,677.46x = 2,376,696.83
  5. Step 5: Solve for x
    x = 2,376,696.83/1,677.46
  6. Step 6: Final answer
    x = 1,416.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.