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Finding the Fourth Proportional to 3,112.77, 4,670.01 and 1,357.45

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Solution

The fourth proportional to 3,112.77, 4,670.01 and 1,357.45 is: 2,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.77 : 4,670.01 = 1,357.45 : x
  2. Step 2: Convert to fraction form
    3,112.77/4,670.01 = 1,357.45/x
  3. Step 3: Cross multiply
    3,112.77x = 4,670.01 × 1,357.45
  4. Step 4: Simplify right side
    3,112.77x = 6,339,306.86
  5. Step 5: Solve for x
    x = 6,339,306.86/3,112.77
  6. Step 6: Final answer
    x = 2,036.55

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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.