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Finding the Fourth Proportional to 1,394.70, 2,088.45 and 1,106.70

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Solution

The fourth proportional to 1,394.70, 2,088.45 and 1,106.70 is: 1,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.70 : 2,088.45 = 1,106.70 : x
  2. Step 2: Convert to fraction form
    1,394.70/2,088.45 = 1,106.70/x
  3. Step 3: Cross multiply
    1,394.70x = 2,088.45 × 1,106.70
  4. Step 4: Simplify right side
    1,394.70x = 2,311,287.62
  5. Step 5: Solve for x
    x = 2,311,287.62/1,394.70
  6. Step 6: Final answer
    x = 1,657.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.