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Finding the Fourth Proportional to 2,094.36, 3,141.89 and 707.70

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Solution

The fourth proportional to 2,094.36, 3,141.89 and 707.70 is: 1,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.36 : 3,141.89 = 707.70 : x
  2. Step 2: Convert to fraction form
    2,094.36/3,141.89 = 707.70/x
  3. Step 3: Cross multiply
    2,094.36x = 3,141.89 × 707.70
  4. Step 4: Simplify right side
    2,094.36x = 2,223,526.45
  5. Step 5: Solve for x
    x = 2,223,526.45/2,094.36
  6. Step 6: Final answer
    x = 1,061.68

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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.