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Finding the Fourth Proportional to 1,364.84, 1,880.92 and 971.18

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Solution

The fourth proportional to 1,364.84, 1,880.92 and 971.18 is: 1,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.84 : 1,880.92 = 971.18 : x
  2. Step 2: Convert to fraction form
    1,364.84/1,880.92 = 971.18/x
  3. Step 3: Cross multiply
    1,364.84x = 1,880.92 × 971.18
  4. Step 4: Simplify right side
    1,364.84x = 1,826,711.89
  5. Step 5: Solve for x
    x = 1,826,711.89/1,364.84
  6. Step 6: Final answer
    x = 1,338.41

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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.