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Finding the Fourth Proportional to 1,423.80, 2,125.41 and 1,316.92

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Solution

The fourth proportional to 1,423.80, 2,125.41 and 1,316.92 is: 1,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.80 : 2,125.41 = 1,316.92 : x
  2. Step 2: Convert to fraction form
    1,423.80/2,125.41 = 1,316.92/x
  3. Step 3: Cross multiply
    1,423.80x = 2,125.41 × 1,316.92
  4. Step 4: Simplify right side
    1,423.80x = 2,798,994.94
  5. Step 5: Solve for x
    x = 2,798,994.94/1,423.80
  6. Step 6: Final answer
    x = 1,965.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.