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Finding the Fourth Proportional to 1,947.37, 2,919.32 and 714.49

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Solution

The fourth proportional to 1,947.37, 2,919.32 and 714.49 is: 1,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.37 : 2,919.32 = 714.49 : x
  2. Step 2: Convert to fraction form
    1,947.37/2,919.32 = 714.49/x
  3. Step 3: Cross multiply
    1,947.37x = 2,919.32 × 714.49
  4. Step 4: Simplify right side
    1,947.37x = 2,085,830.46
  5. Step 5: Solve for x
    x = 2,085,830.46/1,947.37
  6. Step 6: Final answer
    x = 1,071.10

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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.