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Finding the Fourth Proportional to 2,094.35, 3,141.86 and 707.77

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Solution

The fourth proportional to 2,094.35, 3,141.86 and 707.77 is: 1,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.35 : 3,141.86 = 707.77 : x
  2. Step 2: Convert to fraction form
    2,094.35/3,141.86 = 707.77/x
  3. Step 3: Cross multiply
    2,094.35x = 3,141.86 × 707.77
  4. Step 4: Simplify right side
    2,094.35x = 2,223,708.17
  5. Step 5: Solve for x
    x = 2,223,708.17/2,094.35
  6. Step 6: Final answer
    x = 1,061.77

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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.