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Finding the Fourth Proportional to 1,384.94, 1,911.23 and 795.47

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Solution

The fourth proportional to 1,384.94, 1,911.23 and 795.47 is: 1,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.94 : 1,911.23 = 795.47 : x
  2. Step 2: Convert to fraction form
    1,384.94/1,911.23 = 795.47/x
  3. Step 3: Cross multiply
    1,384.94x = 1,911.23 × 795.47
  4. Step 4: Simplify right side
    1,384.94x = 1,520,312.59
  5. Step 5: Solve for x
    x = 1,520,312.59/1,384.94
  6. Step 6: Final answer
    x = 1,097.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.