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Finding the Fourth Proportional to 1,810.78, 2,714.04 and 770.47

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Solution

The fourth proportional to 1,810.78, 2,714.04 and 770.47 is: 1,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.78 : 2,714.04 = 770.47 : x
  2. Step 2: Convert to fraction form
    1,810.78/2,714.04 = 770.47/x
  3. Step 3: Cross multiply
    1,810.78x = 2,714.04 × 770.47
  4. Step 4: Simplify right side
    1,810.78x = 2,091,086.40
  5. Step 5: Solve for x
    x = 2,091,086.40/1,810.78
  6. Step 6: Final answer
    x = 1,154.80

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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.