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Finding the Fourth Proportional to 3,156.42, 4,356.04 and 1,830.12

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Solution

The fourth proportional to 3,156.42, 4,356.04 and 1,830.12 is: 2,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.42 : 4,356.04 = 1,830.12 : x
  2. Step 2: Convert to fraction form
    3,156.42/4,356.04 = 1,830.12/x
  3. Step 3: Cross multiply
    3,156.42x = 4,356.04 × 1,830.12
  4. Step 4: Simplify right side
    3,156.42x = 7,972,075.92
  5. Step 5: Solve for x
    x = 7,972,075.92/3,156.42
  6. Step 6: Final answer
    x = 2,525.67

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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.