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Finding the Fourth Proportional to 3,140.18, 4,710.06 and 1,840.70

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Solution

The fourth proportional to 3,140.18, 4,710.06 and 1,840.70 is: 2,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.18 : 4,710.06 = 1,840.70 : x
  2. Step 2: Convert to fraction form
    3,140.18/4,710.06 = 1,840.70/x
  3. Step 3: Cross multiply
    3,140.18x = 4,710.06 × 1,840.70
  4. Step 4: Simplify right side
    3,140.18x = 8,669,807.44
  5. Step 5: Solve for x
    x = 8,669,807.44/3,140.18
  6. Step 6: Final answer
    x = 2,760.93

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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.