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Finding the Fourth Proportional to 1,947, 2,919.52 and 714.24

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Solution

The fourth proportional to 1,947, 2,919.52 and 714.24 is: 1,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947 : 2,919.52 = 714.24 : x
  2. Step 2: Convert to fraction form
    1,947/2,919.52 = 714.24/x
  3. Step 3: Cross multiply
    1,947x = 2,919.52 × 714.24
  4. Step 4: Simplify right side
    1,947x = 2,085,237.96
  5. Step 5: Solve for x
    x = 2,085,237.96/1,947
  6. Step 6: Final answer
    x = 1,071.00

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Why These Related Problems?

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