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Finding the Fourth Proportional to 1,385.23, 1,909.60 and 991.57

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Solution

The fourth proportional to 1,385.23, 1,909.60 and 991.57 is: 1,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.23 : 1,909.60 = 991.57 : x
  2. Step 2: Convert to fraction form
    1,385.23/1,909.60 = 991.57/x
  3. Step 3: Cross multiply
    1,385.23x = 1,909.60 × 991.57
  4. Step 4: Simplify right side
    1,385.23x = 1,893,502.07
  5. Step 5: Solve for x
    x = 1,893,502.07/1,385.23
  6. Step 6: Final answer
    x = 1,366.92

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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.