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Finding the Fourth Proportional to 1,913.36, 2,870.08 and 743.24

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Solution

The fourth proportional to 1,913.36, 2,870.08 and 743.24 is: 1,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.36 : 2,870.08 = 743.24 : x
  2. Step 2: Convert to fraction form
    1,913.36/2,870.08 = 743.24/x
  3. Step 3: Cross multiply
    1,913.36x = 2,870.08 × 743.24
  4. Step 4: Simplify right side
    1,913.36x = 2,133,158.26
  5. Step 5: Solve for x
    x = 2,133,158.26/1,913.36
  6. Step 6: Final answer
    x = 1,114.88

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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.