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Finding the Fourth Proportional to 3,156.64, 4,355.65 and 1,830.09

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Solution

The fourth proportional to 3,156.64, 4,355.65 and 1,830.09 is: 2,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.64 : 4,355.65 = 1,830.09 : x
  2. Step 2: Convert to fraction form
    3,156.64/4,355.65 = 1,830.09/x
  3. Step 3: Cross multiply
    3,156.64x = 4,355.65 × 1,830.09
  4. Step 4: Simplify right side
    3,156.64x = 7,971,231.51
  5. Step 5: Solve for x
    x = 7,971,231.51/3,156.64
  6. Step 6: Final answer
    x = 2,525.23

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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.