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Finding the Fourth Proportional to 2,070.59, 3,106.15 and 771.89

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Solution

The fourth proportional to 2,070.59, 3,106.15 and 771.89 is: 1,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.59 : 3,106.15 = 771.89 : x
  2. Step 2: Convert to fraction form
    2,070.59/3,106.15 = 771.89/x
  3. Step 3: Cross multiply
    2,070.59x = 3,106.15 × 771.89
  4. Step 4: Simplify right side
    2,070.59x = 2,397,588.66
  5. Step 5: Solve for x
    x = 2,397,588.66/2,070.59
  6. Step 6: Final answer
    x = 1,157.93

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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.