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Finding the Fourth Proportional to 1,384.24, 1,909.94 and 1,011.42

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Solution

The fourth proportional to 1,384.24, 1,909.94 and 1,011.42 is: 1,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.24 : 1,909.94 = 1,011.42 : x
  2. Step 2: Convert to fraction form
    1,384.24/1,909.94 = 1,011.42/x
  3. Step 3: Cross multiply
    1,384.24x = 1,909.94 × 1,011.42
  4. Step 4: Simplify right side
    1,384.24x = 1,931,751.51
  5. Step 5: Solve for x
    x = 1,931,751.51/1,384.24
  6. Step 6: Final answer
    x = 1,395.53

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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.