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Finding the Fourth Proportional to 1,423.35, 1,966.11 and 1,095.87

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Solution

The fourth proportional to 1,423.35, 1,966.11 and 1,095.87 is: 1,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.35 : 1,966.11 = 1,095.87 : x
  2. Step 2: Convert to fraction form
    1,423.35/1,966.11 = 1,095.87/x
  3. Step 3: Cross multiply
    1,423.35x = 1,966.11 × 1,095.87
  4. Step 4: Simplify right side
    1,423.35x = 2,154,600.97
  5. Step 5: Solve for x
    x = 2,154,600.97/1,423.35
  6. Step 6: Final answer
    x = 1,513.75

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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.