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Finding the Fourth Proportional to 2,710.78, 4,066.70 and 1,150.77

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Solution

The fourth proportional to 2,710.78, 4,066.70 and 1,150.77 is: 1,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.78 : 4,066.70 = 1,150.77 : x
  2. Step 2: Convert to fraction form
    2,710.78/4,066.70 = 1,150.77/x
  3. Step 3: Cross multiply
    2,710.78x = 4,066.70 × 1,150.77
  4. Step 4: Simplify right side
    2,710.78x = 4,679,845.86
  5. Step 5: Solve for x
    x = 4,679,845.86/2,710.78
  6. Step 6: Final answer
    x = 1,726.39

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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.