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Finding the Fourth Proportional to 1,942.47, 2,913.91 and 555.84

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Solution

The fourth proportional to 1,942.47, 2,913.91 and 555.84 is: 833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.47 : 2,913.91 = 555.84 : x
  2. Step 2: Convert to fraction form
    1,942.47/2,913.91 = 555.84/x
  3. Step 3: Cross multiply
    1,942.47x = 2,913.91 × 555.84
  4. Step 4: Simplify right side
    1,942.47x = 1,619,666.34
  5. Step 5: Solve for x
    x = 1,619,666.34/1,942.47
  6. Step 6: Final answer
    x = 833.82

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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.