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Finding the Fourth Proportional to 1,942.04, 2,913.60 and 709.40

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Solution

The fourth proportional to 1,942.04, 2,913.60 and 709.40 is: 1,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.04 : 2,913.60 = 709.40 : x
  2. Step 2: Convert to fraction form
    1,942.04/2,913.60 = 709.40/x
  3. Step 3: Cross multiply
    1,942.04x = 2,913.60 × 709.40
  4. Step 4: Simplify right side
    1,942.04x = 2,066,907.84
  5. Step 5: Solve for x
    x = 2,066,907.84/1,942.04
  6. Step 6: Final answer
    x = 1,064.30

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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.