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Finding the Fourth Proportional to 3,156.70, 4,356.02 and 1,830.18

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Solution

The fourth proportional to 3,156.70, 4,356.02 and 1,830.18 is: 2,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.70 : 4,356.02 = 1,830.18 : x
  2. Step 2: Convert to fraction form
    3,156.70/4,356.02 = 1,830.18/x
  3. Step 3: Cross multiply
    3,156.70x = 4,356.02 × 1,830.18
  4. Step 4: Simplify right side
    3,156.70x = 7,972,300.68
  5. Step 5: Solve for x
    x = 7,972,300.68/3,156.70
  6. Step 6: Final answer
    x = 2,525.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.