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Finding the Fourth Proportional to 3,156.58, 4,355.40 and 1,830.20

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Solution

The fourth proportional to 3,156.58, 4,355.40 and 1,830.20 is: 2,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.58 : 4,355.40 = 1,830.20 : x
  2. Step 2: Convert to fraction form
    3,156.58/4,355.40 = 1,830.20/x
  3. Step 3: Cross multiply
    3,156.58x = 4,355.40 × 1,830.20
  4. Step 4: Simplify right side
    3,156.58x = 7,971,253.08
  5. Step 5: Solve for x
    x = 7,971,253.08/3,156.58
  6. Step 6: Final answer
    x = 2,525.28

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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.